Featured: Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
This research monograph provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities.
Books
- T. Lee, M. Leok, N. H. McClamroch, "Global Formulation of Lagrangian and Hamiltonian Dynamics on Manifolds", Springer, 2018, doi:10.1007/978-3-319-56953-6
Journal Articles
- K. Simon, M. Wickramasuriya, T. Lee, M. Snyder, "LiDAR-based UAV Pose Estimation in Ocean Environment with Deep Point Transformer Network", AIAA Journal of Guidance, Control, and Dynamics, 2025, submitted
- T. C, M. Wickramasuriya, S. Bonnabel, A. Barrau, T. Lee, "Invariant Kalman Filter for Relative Dynamics", IEEE Transactions on Automatic Control, 2025, submitted
- T. Lee, G. Chirikjian, "Geometric Interpretation of Brownian Motion on Riemannian Manifolds", IEEE Transactions on Automatic Control, 2025, submitted
- B. Yu, T. Lee, "Equivariant Reinforcement Learning Frameworks for Quadrotor Low-Level Control", IEEE Transactions on Control Systems Technology, 2025, doi:10.1109/TCST.2025.3599971, accepted
- M. Wickramasuriya, T. Lee, M. Snyder, "Deep Transformer Network for Monocular Pose Estimation of Shipborne UAV", AIAA Journal of Guidance, Control, and Dynamics, 2025, doi:10.2514/1.G008588
- Z. Hou, L. Lin, T. Lee, M. Keidar, "Adaptive Cold Atmospheric Plasma: Demonstration with In-Vitro Cancer Treatment Experiments", Ameican Chemical Society (ACS) Omega, 10(40), pp. 46199--47713, 2025, doi:10.1021/acsomega.5c03325
- T. C, T. Lee, "Alternating learning for modular sensorimotor control of a flapping wing UAV", IEEE Transactions on Aerospace and Electronic Systems, 2025, submitted
- B. Yu, T. Lee, "Modular Reinforcement Learning for Quadrotor UAV with Decoupled Yaw Control", IEEE Robotics and Automation Letters, 10(1), pp. 572 - 579, 2025, doi:10.1109/LRA.2024.3511412
- K. Gamagedara, T. Lee, M. Snyder, "Delayed Kalman Filter for Vision-Based Autonomous Flight in Ocean Environments", Control Engineering Practice, 143, pp. 105791, 2024, doi:10.1016/j.conengprac.2023.105791
- C. Kang, M. Sridhar, R. Twigg, J. Pohly, T. Lee, H. Aono, "Power Benefits of High-Altitude Flapping Wing Flight at Monarch Butterfly Scale", Biomimetics, 8(4), pp. 352, 2023, doi:10.3390/biomimetics8040352
- T. C, T. Lee, "Constrained Imitation Learning for a Flapping Wing Unmanned Aerial Vehicle", IEEE Robotics and Automation Letters, 7(4), pp. 10534--10541, 2022, doi:10.1109/LRA.2022.3194682
- W. Wang, T. Lee, "Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups", SIAM Journal on Applied Dynamical Systems, 21(3), pp. 2215--2240, 2022, doi:10.1137/21M144147X
- Z. Hou, T. Lee, M. Keidar, "Reinforcement Learning with Safe Exploration for Adaptive Plasma Cancer Treatment", IEEE Transactions on Radiation and Plasma Medical Sciences, 6(4), pp. 482--492, 2022, doi:10.1109/TRPMS.2021.3094874
- W. Wang, K. Gamagedara, T. Lee, "On the Observability of Attitude with Single Direction Measurements", IEEE Transactions on Automatic Control, 67(9), pp. 4986--4993, 2022, doi:10.1109/TAC.2022.3179214
- K. Gamagedara, T. Lee, "Geometric Adaptive Controls of a Quadrotor UAV with Decoupled Attitude Dynamics", ASME Journal of Dynamic Systems, Measurement, and Control, 144(3), pp. 031002, 2022, doi:10.1115/1.4052714
- W. Wang, T. Lee, "Matrix Fisher--Gaussian Distribution on SO(3)xRn for Bayesian Attitude Estimation", IEEE Transactions on Automatic Control, 67(5), pp. 2175--2191, 2022, doi:10.1109/TAC.2021.3073323
- S. Kulumani, T. Lee, "Bayesian Shape Reconstruction and Optimal Guidance for Autonomous Landing on Asteroids", Journal of the Astronautical Sciences, 69, pp. 335--367, 2022, doi:10.1007/s40295-022-00310-6
- T. Lee, "Real harmonic analysis on the special orthogonal group", International Journal of Analysis and Applications, 20, 2022, doi:10.28924/2291-8639-20-2022-0
- L. Lin, D. Yan, T. Lee, M. Keidar, "Self-Adaptive Plasma Chemistry and Intelligent Plasma Medicine", Advanced Intelligent Systems, 2021, doi:10.1002/aisy.202100112
- K. Gamagedara, T. Lee, M. Snyder, "Quadrotor State Estimation with IMU and Delayed Real-time Kinematic GPS", IEEE Transactions on Aerospace and Electronic Systems, 57(5), pp. 2661 -- 2673, 2021, doi:10.1109/TAES.2021.3061795
- W. Wang, T. Lee, "Higher-Order Central Moments of Matrix Fisher Distribution on SO(3)", Statistics and Probability Letters, 169, 2021, doi:10.1016/j.spl.2020.108983
- T. C, M. Sridhar, C. Kang, T. Lee, "Effects of Abdomen Undulation in Energy Consumption and Stability for the Flights of Monarch Butterfly", Bioinspiration and Biomemetics, 16(4), pp. 046003, 2021, doi:10.1088/1748-3190/abce4d
- M. Sridhar, C. Kang, D. Landrum, H. Aono, S. Mathis, T. Lee, "Effects of flight altitude on the lift generation of monarch butterflies: from sea level to overwintering mountain", Bioinspiration and Biomemetics, 16, pp. 034002, 2021, doi:10.1088/1748-3190/abe108
- M. Bisheban, T. Lee, "Geometric Adaptive Control with Neural Networks for a Quadrotor UAV in Wind Fields", IEEE Transactions on Control Systems Technology, 29(4), pp. 1533--1548, 2021, doi:10.1109/TCST.2020.3006184
- L. Lin, Z. Hou, X. Yao, Y. Liu, J. Sirigiri, T. Lee, M. Keidar, "Introducing adaptive cold atmospheric plasma: The perspective of adaptive cold plasma cancer treatments based on real-time electrochemical impedance spectroscopy", Physics of Plasma, 27(6), pp. 063501, 2020, doi:10.1063/5.0003528
- W. Wang, T. Lee, "Spectral Bayesian Estimation for General Stochastic Hybrid Systems", Automatica, 117, 2020, doi:10.1016/j.automatica.2020.108989
- E. Kaufman, K. Takami, Z. Ai, T. Lee, "Bayesian Mapping-Based Autonomous Exploration and Patrol of 3D Structured Indoor Environments with Multiple Flying Robots", Journal of Intelligent and Robotic Systems, 98, pp. 403--419, 2020, doi:10.1007/s10846-019-01066-2
- Y. Lyu, L. Lin, E. Gjika, T. Lee, M. Keidar, "Mathematical Modeling and Control for Cancer Treatment with Cold Atmospheric Plasma Jet", Journal of Physics D: Applied Physics, 52(18), pp. 185202, 2019, doi:10.1088/1361-6463/ab061d
- S. Kulumani, T. Lee, "Systematic Design of Optimal Low-Thrust Transfers for the Three-body Problem", Journal of the Astronautical Sciences, 66(1), pp. 1--31, 2019, doi:10.1007/s40295-018-00139-y
- T. Lee, D. Chang, Y. Eun, "Semi-Global Non-memoryless Attitude Controls on the Special Orthogonal Group", ASME Journal of Dynamic Systems, Measurement, and Control, 141(2), pp. 021005, 2018, doi:10.1115/1.4041447
- T. Lee, "Bayesian Attitude Estimation with the Matrix Fisher Distribution on SO(3)", IEEE Transactions on Automatic Control, 63(10), pp. 3377--3392, 2018, doi:10.1109/TAC.2018.2797162
- E. Kaufman, K. Takami, T. Lee, Z. Ai, "Autonomous Exploration with Exact Inverse Sensor Models", Journal of Intelligent and Robotic Systems, 92(3--4), pp. 435--452, 2018, doi:10.1007/s10846-017-0710-7
- T. Lee, "Geometric Control of Quadrotor UAVs Transporting a Cable-Suspended Rigid Body", IEEE Transactions on Control Systems Technology, 26(1), pp. 255--264, 2018, doi:10.1109/TCST.2017.2656060
- S. Kulumani, T. Lee, "Constrained geometric attitude control on SO(3)", International Journal of Control, Automation, and Systems, 15(6), pp. 2796--2809, 2017, doi:10.1007/s12555-016-0607-4
- F. Goodarzi, T. Lee, "Global Formulation of an Extended Kalman Filter on SE(3) for Geometric Control of a Quadrotor UAV", Journal of Intelligent and Robotic Systems, 88(2--4), pp. 395--416, 2017, doi:10.1007/s10846-017-0525-6
- M. Bisheban, T. Lee, "Computational Geometric System Identification for the Attitude Dynamics on SO(3)", International Journal of Control, Automation, and Systems, 15(6), pp. 2776--2785, 2017, doi:10.1007/s12555-016-0714-2
- T. Wu, B. Flewelling, F. Leve, T. Lee, "Spacecraft Attitude Formation Tracking Using Line-Of-Sight Measurements", AIAA Journal of Guidance, Control, and Dynamics, 40(10), pp. 2616--2629, 2017, doi:10.2514/1.G001727
- T. Lee, M. Leok, N. H. McClamroch, "Geometric formulations of Furuta pendulum control problems", Mathematics in engineering, science and aerospace, 7(1), pp. 69--81, 2016
- F. Goodarzi, T. Lee, "Stabilization of a rigid body payload with multiple cooperative quadrotors", ASME Journal of Dynamic Systems, Measurement, and Control, 138(12), pp. 121001--121001-17, 2016, doi:10.1115/1.4033945
- T. Wu, T. Lee, "Angular Velocity Observer for Velocity-Free Attitude Tracking Control on SO(3)", International Journal of Control, Automation, and Systems, 14(5), pp. 1289--1298, 2016, doi:10.1007/s12555-015-0163-3
- E. Kaufman, T. Lovell, T. Lee, "Minimum Uncertainty JPDA Filters and Coalescence Avoidance for Multiple Object Tracking", Journal of the Astronautical Sciences, 63(4), pp. 308--334, 2016, doi:10.1007/s40295-016-0092-2
- E. Kaufman, T. Lovell, T. Lee, "Nonlinear Observability for Relative Orbit Determination with Angles-Only Measurements", Journal of the Astronautical Sciences, 63(1), pp. 60--80, 2016, doi:10.1007/s40295-015-0082-9
- J. Dougherty, T. Lee, "Monocular Estimation of Ground Orientation for Autonomous Landing of a Quadrotor", AIAA Journal of Guidance, Control, and Dynamics, 39(6), pp. 1407--1416, 2016, doi:10.2514/1.G001229
- T. Lee, "Global Exponential Attitude Tracking Controls on SO(3)", IEEE Transactions on Automatic Control, 60(10), pp. 2837--2842, 2015, doi:10.1109/TAC.2015.2407452
- T. Lee, "Stochastic Optimal Motion Planning for the Attitude Kinematics of a Rigid Body with Non-Gaussian Uncertainties", ASME Journal of Dynamic Systems, Measurement, and Control, 137(3), pp. 034502, 2015, doi:10.1115/1.4027950
- F. Goodarzi, D. Lee, T. Lee, "Geometric Adaptive Tracking Control of a Quadrotor Unmanned Aerial Vehicle on SE(3)", ASME Journal of Dynamic Systems, Measurement, and Control, 137(9), 2015, doi:10.1115/1.4030419
- F. Goodarzi, D. Lee, T. Lee, "Geometric Control of a Quadrotor UAV Transporting a Payload Connected to a Quadrotor UAV via Flexible Cable", International Journal of Control, Automation, and Systems, 13(6), pp. 1--13, 2015, doi:10.1007/s12555-014-0304-0
- T. Lee, "Optimal control of partitioned hybrid systems via discrete-time Hamilton-Jacobi theory", Automatica, 50(8), pp. 2062--2069, 2014, doi:10.1016/j.automatica.2014.05.024
- T. Lee, M. Leok, N. H. McClamroch, "High-Fidelity Numerical Simulation of Complex Dynamics of Tethered Spacecraft", Acta Astronautica, 99(1), pp. 215--230, 2014, doi:10.1016/j.actaastro.2014.02.021
- T. Lee, "Robust adaptive tracking on SO(3) with an application to the attitude dynamics of a quadrotor UAV", IEEE Transactions on Control Systems Technology, 21(5), pp. 1924--1930, 2013, doi:10.1109/TCST.2012.2209887
- T. Lee, M. Leok, N. H. McClamroch, "Nonlinear robust tracking control of a quadrotor UAV on SE(3)", Asian Journal of Control, 15(2), pp. 391--408, 2013, doi:10.1002/asjc.567
- T. Lee, "Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers", Systems and Control Letters, 61(1), pp. 231--237, 2012, doi:10.1016/j.sysconle.2011.10.017
- T. Lee, M. Leok, N. H. McClamroch, "Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism", Nonlinear Dynamics, 64(1-2), pp. 97--115, 2011, doi:10.1007/s11071-010-9849-5
- N. Chaturvedi, T. Lee, M. Leok, N. H. McClamroch, "Nonlinear Dynamics of the 3D pendulum", Journal of Nonlinear Science, 21(1), pp. 3--32, 2011, doi:10.1007/s00332-010-9078-6
- I. Kolmanovsky, T. Lee, A. Sanyal, J. Shen, "HarrisFest [Conference Reports]", IEEE Control Systems Magazine, pp. 81--83, 2010, doi:10.1109/MCS.2010.937816
- T. Lee, M. Leok, N. H. McClamroch, "Lagrangian Mechanics and Variational Integrators on Two-Spheres", International Journal for Numerical Methods in Engineering, 79(9), pp. 1147--1174, 2009, doi:10.1002/nme.2603
- A. Sanyal, T. Lee, M. Leok, N. H. McClamroch, "Global optimal attitude estimation using uncertainty ellipsoids", Systems and Control Letters, 57(3), pp. 236--245, 2008, doi:10.1016/j.sysconle.2007.08.014
- T. Lee, M. Leok, N. H. McClamroch, "Computational Geometric Optimal Control of Rigid Bodies", Communications in Information and Systems, special issue dedicated to R. W. Brockett, 8(4), pp. 445--472, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Optimal attitude control of a rigid body using geometrically exact computations on SO(3)", Journal of Dynamical and Control Systems, 14(4), pp. 465--487, 2008, doi:10.1007/s10883-008-9047-7
- T. Lee, M. Leok, N. H. McClamroch, "Lie group variational integrators for the full body problem in orbital mechanics", Celestial Mechanics and Dynamical Astronomy, 98(2), pp. 121--144, 2007, doi:10.1007/s10569-007-9073-x
- T. Lee, M. Leok, N. H. McClamroch, "Lie group variational integrators for the full body problem", Computer Methods in Applied Mechanics and Engineering, 196, pp. 2907--2924, 2007, doi:10.1016/j.cma.2007.01.017
- T. Lee, Y. Kim, "Nonlinear Adaptive Flight Control Using Backstepping and Neural Networks Controller", AIAA Journal of Guidance, Control, and Dynamics, 24(4), pp. 675--682, 2001, doi:10.2514/2.4794
- T. Lee, Y. Kim, "Nonlinear Adaptive Flight Control Using Neural Networks and Backstepping", Journal of Control, Automation and Systems Engineering, 6(12), pp. 1070--1078, 2000
- J. Ahn, T. Lee, Y. Kim, "Real Time Formulation of Missile Trajectory Optimization Using a Parameter Optimization Technique", Journal of Korean Society for Aeronautical and Space Sciences, 27(4), pp. 94-103, 1999
Conference Proceedings
- T. Lee, G. Chirikjian, "Global Tensor Field Formulation of the Fokker--Planck Equation on Riemannian Manifolds", in Proceedings of the European Control Conference, 2025, submitted
- M. Wickramasuriya, B. Yu, T. Lee, M. Snyder, "Vision-in-the-loop Simulation for Deep Monocular Pose Estimation of UAV in Ocean Environment", in Proceedings of the International Conference on Unmanned Aircraft Systems, 2025
- Z. Zhang, H. Zhou, M. Imani, T. Lee, T. Lan, "Learning to Collaborate with Unknown Agents in the Absence of Reward", in Proceedings of the AAAI Conference on Artificial Intelligence, 2025
- T. C, T. Lee, "Mean Field Game and Control for Switching Hybrid Systems", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, 2025, doi:10.1016/j.ifacol.2025.11.101
- T. C, M. Wickramasuriya, T. Lee, "Invariant Kalamn Filter for Relative Dynamics", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, 2025, doi:10.1016/j.ifacol.2025.11.064
- T. C, W. Clark, T. Lee, "Uncertainty propagation of stochastic hybrid systems: a case study for types of jump", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, 2025, doi:10.1016/j.ifacol.2025.11.048
- T. C, T. Lee, "Variational Integrators for Stochastic Mechanical Hybrid Systems", in Proceedings of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Controls, pp. 149---154, 2024, doi:10.1016/j.ifacol.2024.08.272
- T. C, T. Lee, "Deep Neural Pose Estimation for a Flapping Wing Unmanned Aerial Vehicle with Visual-Inertial Sensor Fusion", in AIAA Scitech Forum, 2024, AIAA 2024-0948
- M. Wickramasuriya, T. Lee, M. Snyder, "Deep Monocular Relative 6D Pose Estimation for Ship-Based Autonomous UAV", in AIAA Scitech Forum, 2024, AIAA 2024-2877
- B. Yu, T. Lee, "Multi-Agent Reinforcement Learning for the Low-Level Control of a Quadrotor UAV", in Proceedings of the American Control Conference, pp. 1537--1542, 2024
- T. Lee, "G-Learning: Equivariant Indirect Optimal Control with Generating Function", in Proceedings of IEEE Conference on Decision and Control, pp. 2340-- 2345, 2023
- W. Wang, T. Lee, "INS-GNSS Navigation for Large Attitude Uncertanties with the Matrix Fisher--Gaussian Distribution", in Proceedings of the American Control Conference, pp. 4858--4863, 2023
- Z. Hou, T. Lee, M. Keidar, "Canonical Correlation Analysis For Real-Time Diagnostics Of Cancer Cell Viability With Impedance", in International Workshop On Plasma For Cancer Treatment, 2023
- M. Tarpley, J. Pohly, C. Kang, T. Lee, H. Aono, "Numerical Analysis of Flight Performance of Bioinspired Mars Flight Vehicles", in AIAA Scitech Forum, 2023, AIAA 2023-1219
- J. Pohly, C. Kang, T. C, T. Lee, H. Aono, "Climbing Flight of Monarch Butterflies via Wing and Abdomen Kinematic Modulation Using a High-Fidelity Numerical Framework", in AIAA Scitech Forum, 2023, AIAA 2023-1789
- B. Yu, T. Lee, "Equivariant reinforcement learning for quadrotor UAV", in Proceedings of the American Control Conference, pp. 2842--2847, 2023
- T. Morris, M. Sridhar, T. Clark, F. Schulze, C. Kang, D. Landrum, K. Roh, T. Lee, H. Aono, "Experimental Measurements of the Wing Deformation and Force Production of Real and Bioinspired Artificial Monarch Butterfly Wings", in Proceedings of the AIAA Scitech Forum, 2022, AIAA 2022-0308
- T. C, T. Lee, "Iterative Supervised Learning for Regression with Constraints", in International Conference on Ubiquitous Robots, 2022
- W. Wang, T. Lee, "Spacecraft Attitude and Gyro-Bias Estimation with a Single Magnetometer on SO(3)xRn", in Proceedings of the AIAA Scitech Forum, 2022, AIAA 2022-0616
- W. Wang, T. Lee, "Bingham--Gaussian Distribution on S2xRn for Unscented Attitude Estimation", in Proceedings of IEEE International Conference on Multisensor Fusion and Integration, 2021
- K. Gamagedara, T. Lee, M. Snyder, "Unscented Kalman filter for INS/GNSS Data Fusion with Time Delay", in Proceedings of AIAA Aviation Forum, 2021, AIAA 2021-2486
- M. Snyder, K. Gamagedara, T. Lee, J. Pritchard, "In Situ Detection and Analysis of Ship Air Wakes from a US Navy Research Vessel", in Proceedings of AIAA Aviation Forum, 2021, AIAA 2021-2485
- T. C, T. Lee, "Geometric Optimal Controls for Flapping Wing UAV on a Lie Group", in IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2021
- T. Lee, M. Tao, M. Leok, "Variational Symplectic Accelerated Optimization on Lie Groups", in Proceedings of IEEE Conference on Decision and Control, pp. 233 -- 240, 2021
- M. Sridhar, J. Pohly, C. Kang, T. Lee, H. Aono, "Effects of Vein Structures on Fluid-structure Interaction of Flexible Flapping Wings at High Altitudes", in Proceedings of the AIAA Scitech Forum, 2021, AIAA 2021-0963
- T. Lee, "Stochastic Attitude Smoothing and Interpolation on SO(3) with Matrix Fisher Distributions", in Proceedings of the American Control Conference, pp. 1161 -- 1167, 2021
- T. C, C. Kang, T. Lee, "Dynamics and Control of a Flapping Wing UAV with Abdomen Undulation Inspired by Monarch Butterfly", in Proceedings of the American Control Conference, pp. 66 -- 71, 2021
- B. Yu, K. Gamagedara, S. Kim, T. Lee, J. Suk, "Geometric Control and Experimental Validation for a Quadrotor UAV Transporting a Payload", in Proceedings of IEEE Conference on Decision and Control, pp. 201--207, 2020
- T. Lee, M. Keidar, "Adaptive Plasma and Machine Learning", in Plasma Cancer Therapy, pp. 223--250, 2020
- W. Wang, T. Lee, "Spectral Uncertainty Propagation for Generalized Stochastic Hybrid Systems with Applications to a Bouncing Ball", in Proceedings of the American Control Conference, pp. 1803--1808, 2020
- T. Lee, "Adaptive Learning Kalman Filter With Gaussian Process", in Proceedings of the American Control Conference, pp. 4442--4447, 2020
- H. Sharma, T. Lee, M. Patil, C. Woolsey, "Symplectic Accelerated Optimization on SO(3) with Lie Group Variational Integrators", in Proceedings of the American Control Conference, pp. 2826--2831, 2020
- W. Wang, T. Lee, "Matrix Fisher--Gaussian Distribution on SO(3)XRn for Attitude Estimation with a Gyro Bias", in Proceedings of the American Control Conference, pp. 4429--4434, 2020
- M. Sridhar, C. Kang, T. Lee, "Geometric Formulation for the Dynamics of Monarch Butterfly with the Effects of Abdomen Undulation", in Proceedings of the AIAA Scitech Forum, 2020, AIAA 2020-1962
- J. Pohly, C. Kang, M. Sridhar, D. Landrum, F. Fahimi, J. Bluman, H. Aono, T. Lee, "Scaling Bioinspired Mars Flight Vehicles for Hover", in Proceedings of the AIAA Scitech Forum, 2019, AIAA 2019-0567
- H. Sharma, T. Lee, "Energy-preserving, Adaptive Time-Step Lie Group Variational Integrators for the Attitude Dynamics of a Rigid Body", in Proceedings of the American Control Conference, pp. 5487--5492, 2019
- K. Gamagedara, M. Bisheban, E. Kaufman, T. Lee, "Geometric Controls of a Quadrotor with a Decoupled Yaw Control", in Proceedings of the American Control Conference, 2019
- K. Gamagedara, T. Lee, D. Chang, "Attitude Observer on SO(3) with Time-Varying Reference Directions", in Proceedings of the European Control Conference, pp. 4034--4039, 2019
- T. Lee, "Spacecraft Attitude Estimation with a Single Magnetometer Using Matrix Fisher Distributions on SO(3)", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2019, AIAA 2019-1173
- K. Gamagedara, T. Lee, M. Snyder, "Real-time Kinematics GPS Based Telemetry System for Airborne Measurements of Ship Air Wake", in Proceedings of AIAA Aerospace Sciences Meeting, 2019, AIAA 2019-2377
- E. Kaufman, T. Lee, "Autonomous Aerial Exploration for Topological Mapping of Mars Environments", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2019, AIAA 2019-1915
- M. Bisheban, T. Lee, "Geometric Adaptive Control for a Quadrotor UAV with Wind Disturbance Rejection", in Proceedings of IEEE Conference on Decision and Control, pp. 2816--2821, 2018
- T. Lee, "Bayesian Attitude Estimation with Approximate Matrix Fisher Distributions on SO(3)", in Proceedings of IEEE Conference on Decision and Control, pp. 5319--5325, 2018
- Z. Zhao, G. Cruz, T. Lee, D. Bernstein, "Adaptive Attitude Control of a Dual-Rigid-Body Spacecraft with Unmodeled Nonminimum-Phase Dynamics", in Proceedings of the American Control Conference, pp. 2503--2508, 2018
- L. Simon, R. Agnes, K. Gamagedara, K. Takami, M. Snyder, T. Lee, "Studies on Autonomous Landing of an Unmanned Aerial Vehicle on a Vessel", in Proceedings of AIAA Information Systems, 2018, AIAA 2018-1461
- S. Kulumani, T. Lee, "Real Time Adaptive Shape Reconstruction for Asteroid Landing", in Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2018, AAS 18-319
- K. Takami, T. Lee, "Environment dependent depth enhancement with multi-modal sensor fusion learning", in Proceedings of the IEEE International Conference on Robotic Computing, pp. 232--237, 2018
- E. Kaufman, K. Takami, T. Lee, "Autonomous Quadrotor 3D Mapping and Exploration Using Exact Occupancy Probabilities", in Proceedings of the IEEE International Conference on Robotic Computing, pp. 49--55, 2018
- S. Kulumani, K. Takami, T. Lee, "Geometric Control for Autonomous Landing on Asteroid Itokawa using Visual Localization", in Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2017, AAS 17-720
- M. Bisheban, T. Lee, "Computational Geometric Identification for the Quadrotor Dynamics in Wind Fields", in Proceedings of the IEEE Conference on Control Technology and Applications, pp. 1153--1158, 2017
- C. Mallon, B. Muthig, K. Gamagedara, K. Patil, C. Friedman, T. Lee, M. Snyder, "Measurements of Ship Air Wake Using Airborne Anemometers", in Proceedings of AIAA Aerospace Sciences Meeting, 2017, doi:http://dx.doi.org/10.2514/6.2017-0252, AIAA 2017-0252
- S. Kulumani, T. Lee, "Bayesian Attitude Estimation on SO(3) with Matrix Fisher Mixtures", in Proceedings of the AIAA/AAS Spaceflight Mechanics Meeting, 2017, AAS 17-324
- M. Bisheban, T. Lee, "Computational Geometric System Identification for the Attitude Dynamics on SO(3)", in Proceedings of the American Control Conference, pp. 2249--2254, 2017
- T. Lee, D. Chang, Y. Eun, "Attitude Control Strategies Overcoming the Topological Obstruction on SO(3)", in Proceedings of the American Control Conference, pp. 4942--4947, 2017
- K. Lee, C. Park, T. Lee, S. Park, "Spacecraft formation keeping via discrete-time Hamilton-Jacobi theory", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2016, doi:10.2514/6.2016-0874, AIAA 2016-0874
- E. Kaufman, Z. Ai, T. Lee, "Autonomous Exploration by Expected Information Gain from Probabilisitic Occupancy Grid Mapping", in Proceedings of the IEEE Conference on Simulation, Modeling, and Programming for Autonomous Robots, 2016
- T. Lee, "Optimal Hybrid Controls for Global Exponential Tracking on the Two-Sphere", in Proceedings of the IEEE Conference on Decision and Control, pp. 3331-3337, 2016
- S. Kulumani, T. Lee, "Low-thrust Trajectory Design using Reachability sets near asteroid 4769 Castalia", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2016, doi:10.2514/6.2016-5376, AIAA 2016-5376
- F. Goodarzi, T. Lee, "Extended Kalman filter on SE(3) for geometric control of a quadrotor UAV", in Proceedings of the IEEE International Conference on Unmanned Aircraft Systems, pp. 1371--1380, 2016
- E. Kaufman, T. Lee, Z. Ai, I. Moskowitz, "Bayesian Occupancy Grid Mapping via an Exact Inverse Sensor Model", in Proceedings of the American Control Conference, pp. 5709--5715, 2016
- S. Kulumani, C. Poole, T. Lee, "Geometric Adaptive Control of Attitude Dynamics on SO(3) with State Inequality Constraint", in Proceedings of the American Control Conference, pp. 4936--4941, 2016
- T. Lee, "Global Unscented Attitude Estimation via the Matrix Fisher Distributions on SO(3)", in Proceedings of the American Control Conference, pp. 4942--4947, 2016
- S. Kulumani, T. Lee, "Systematic Design of Optimal Low-Thrust Transfers for the Three-Body Problem", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2015, AAS 15-757
- E. Kaufman, T. Lee, "Geometric Adaptive Control for Aerial Transportation of a Rigid Body", 2015, Presented at International Conference on Robotics and Automation
- T. Lee, M. Leok, N. H. McClamroch, "Global Formulations of Lagrangian and Hamiltonian Dynamics on Embedded Manifolds", in Proceedings of the IMA Conference on Mathematics of Robotics, 2015
- T. Lee, "Geometric Adaptive Control for Aerial Transportation of a Rigid Body", in Proceedings of the IMA Conference on Mathematics of Robotics, 2015
- T. Wu, E. Kaufman, T. Lee, "Globally Asymptotically Stable Attitude Observer on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 2164--2168, 2015
- T. Lee, "Geometric Controls for a Tethered Quadrotor UAV", in Proceedings of the IEEE Conference on Decision and Control, pp. 2749--2754, 2015
- T. Lee, M. Leok, N. H. McClamroch, "Global Formulations of Lagrangian and Hamiltonian Mechanics on Two-Spheres", in Proceedings of the IEEE Conference on Decision and Control, pp. 6010--6015, 2015
- E. Kaufman, A. Lovell, T. Lee, "Nonlinear Observability Measure for Relative Orbit Determination with Angles-Only Measurements", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-451
- T. Lee, F. Leve, M. Leok, N. H. McClamroch, "Lie group variational integrators for spacecraft with variable speed control moment gyros", in Proceedings of the U.S. National Congress on Computational Mechanics, 2015
- T. Wu, T. Lee, "Angular velocity observer on the special orthogonal group for velocity-free rigid-body attitude tracking control", in Proceedings of the European Control Conference, pp. 1824--1829, 2015
- T. Wu, T. Lee, "Spacecraft Attitude Formation Stabilization Using Lines-Of-Sight Without Angular Velocity Measurements", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-441
- E. Kaufman, A. Lovell, T. Lee, "Minimum Uncertainty JPDA Filter and Coalescence Avoidance Performance Evaluations", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-451
- F. Goodarzi, T. Lee, "Dynamics and Control of Quadrotor UAVs Transporting a Rigid Body Connected via Flexible Cables", in Proceedings of the American Control Conference, pp. 4677--4682, 2015
- T. Lee, "Collision Avoidance via Voronoi Tessellation for Quadrotor UAVs Transporting a Payload", in Proceedings of the American Control Conference, pp. 1842--1848, 2015
- N. H. McClamroch, T. Lee, "Optimal flight planning for a jet aircraft mission", in Case Studies in Operations Research, pp. 355--390, 2015
- S. Dai, T. Lee, D. Bernstein, "Adaptive Control of a Quadrotor UAV Transporting a Cable-Suspended Load with Unknown Mass", in Proceedings of the IEEE Conference on Decision and Control, pp. 6149--6154, 2014
- T. Wu, T. Lee, "Spacecraft Position and Attitude Formation Control using Line-of-Sight Observations", in Proceedings of the IEEE Conference on Decision and Control, pp. 970--975, 2014
- T. Lee, "Geometric Control of Multiple Quadrotor UAVs Transporting a Cable-Suspended Rigid Body", in Proceedings of the IEEE Conference on Decision and Control, pp. 6155--6160, 2014
- T. Lee, F. Leve, "Lagrangian Mechanics and Lie Group Variational Integrators for Spacecraft with Imbalanced Reaction Wheels", in Proceedings of the American Control Conference, pp. 3122--3127, 2014
- F. Goodarzi, D. Lee, T. Lee, "Geometric Stabilization of a Quadrotor UAV with a Payload Connected by Flexible Cable", in Proceedings of the American Control Conference, pp. 4925--4930, 2014
- J. Dougherty, D. Lee, T. Lee, "Laser-based Guidance of a Quadrotor UAV for Precise Landing on an Inclined Surface", in Proceedings of the American Control Conference, pp. 1210--1215, 2014
- T. Lovell, T. Lee, "Nonlinear Observability for Relative Satellite Orbits with Angles-Only Measurements", in Proceedings of the International Symposium on Space Flight Dynamics, 2014
- E. Kaufman, K. Caldwell, D. Lee, T. Lee, "Design and Development of a Free-Floating Hexrotor UAV for 6-DOF Maneuvers", in Proceedings of the IEEE Aerospace Conference, 2014
- E. Kaufman, T. Lee, "Optimal Joint Probabilistic Data Association Filter Avoiding Coalescence in Close Proximity", in Proceedings of the European Control Conference, pp. 2709--2714, 2014
- T. Lee, "Stochastic optimal motion planning and global estimation for the attitude kinematics on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, 2013
- T. Lee, K. Sreenath, V. Kumar, "Geometric Control of Cooperating Multiple Quadrotor UAVs with a Suspended Load", in Proceedings of the IEEE Conference on Decision and Control, 2013
- K. Sreenath, T. Lee, V. Kumar, "Geometric control and differential flatness of a quadrotor UAV with a cable-suspended load", in Proceedings of the IEEE Conference on Decision and Control, pp. 2269--2274, 2013
- T. Lee, M. Keidar, "Low-thrust orbital maneuver analysis for Cubesat with micro-cathode thruster", in Proceedings of the International Electric Propulsion Conference, 2013, IEPC-2013-365
- T. Wu, T. Lee, M. Keidar, "Low-thrust attitude control for nano-satellite with micro-cathode thrusters", in Proceedings of the International Electric Propulsion Conference, 2013, IEPC-2013-366
- M. Camblor, A. Xie, G. Cruz, S. Esteban, T. Lee, D. Bernstein, "A numerical comparison of inertia-free attitude control laws for a spacecraft with a discrete flexible mode", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2013, AIAA 2013-4562
- F. Goodarzi, D. Lee, T. Lee, "Geometric nonlinear PID control of a quadrotor UAV on SE(3)", in Proceedings of the European Control Conference, pp. 3845--3850, 2013
- T. Lee, "Robust Global Exponential Attitude Tracking Controls on SO(3)", in Proceedings of the American Control Conference, pp. 2103--2108, 2013
- T. Wu, B. Flewelling, F. Leve, T. Lee, "Spacecraft Relative Attitude Formation Tracking on SO(3) Based on Line-of-Sight Measurements", in Proceedings of the American Control Conference, pp. 4827--4832, 2013
- T. Lee, M. Leok, "Computational Geometric Uncertainty Propagation and global estimation for Hamiltonian systems on a Lie group", in Proceedings of the NSF CMMI Research and Innovation Conference, 2012
- T. Lee, M. Leok, N. H. McClamroch, "Nonlinear robust tracking control of a quadrotor UAV on SE(3)", in Proceedings of the American Control Conference, pp. 4649--4654, 2012
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics and Control of a Chain Pendulum on a Cart", in Proceedings of the IEEE Conference on Decision and Control, pp. 2502--2508, 2012
- T. Lee, "Relative attitude control of two spacecraft on SO(3) using line-of-sight observations", in Proceedings of the American Control Conference, pp. 167--172, 2012
- T. Lee, "Discrete-time Optimal Feedback Control via the Discrete Hamilton-Jacobi theory with applications to Hybrid Systems", in Proceedings of the IEEE Conference on Decision and Control, pp. 7055--7062, 2012
- T. Fernando, J. Chandiramani, T. Lee, H. Gutierrez, "Robust adaptive geometric tracking controls on SO(3) with an application to the attitude dynamics of a quadrotor UAV", in Proceedings of the IEEE Conference on Decision and Control, pp. 7380--7385, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric numerical integration for complex dynamics of tethered spacecraft", in Proceedings of the American Control Conference, pp. 1885--1891, 2011
- T. Lee, M. Leok, "Computational Geometric Uncertainty Propagation for Hamiltonian Systems on a Lie Group", in Proceedings of the NSF CMMI Research and Innovation Conference, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Stable manifolds of saddle points for pendulum dynamics on S2 and SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 3915--3921, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric tracking control of a quadrotor UAV for extreme maneuverability", in Proceedings of the World Congress of the International Federation of Automatic Control, pp. 6337--6342, 2011
- T. Lee, "Geometric tracking control of the attitude dynamics of a rigid body on SO(3)", in Proceedings of the American Control Conference, pp. 1200--1205, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric tracking control of a quadrotor UAV on SE(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 5420--5425, 2010
- T. Lee, M. Leok, N. H. McClamroch, "Computational Geometric Optimal Control of Connected Rigid Bodies in a Perfect Fluid", in Proceedings of the American Control Conference, pp. 5985--5990, 2010
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics of Connected Rigid Bodies in a Perfect Fluid", in Proceedings of the American Control Conference, pp. 408--413, 2009
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics of a 3D Elastic String Pendulum", in Proceedings of IEEE Conference on Decision and Control, pp. 3347--3352, 2009
- T. Lee, M. Leok, N. H. McClamroch, "Discrete Control Systems", in the Encyclopedia of Complexity and System Science, pp. 2002--2019, 2009
- T. Lee, M. Leok, N. H. McClamroch, "Global Symplectic Uncertainty Propagation on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 61--66, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Time Optimal Attitude Control for a Rigid Body", in Proceedings of the American Control Conference, pp. 5210--5215, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Optimal attitude control for a rigid body with symmetry", in Proceedings of the American Control Conference, pp. 1073--1078, 2007
- T. Lee, M. Leok, N. H. McClamroch, "A combinatorial optimal control problem for spacecraft formation reconfiguration", in Proceedings of the IEEE Conference on Decision and Control, pp. 5370--5375, 2007
- T. Lee, M. Leok, N. H. McClamroch, A. Sanyal, "Global attitude estimation using single direction measurements", in Proceedings of the American Control Conference, pp. 3659--3664, 2007
- T. Lee, N. Chaturvedi, A. Sanyal, M. Leok, N. H. McClamroch, "Propagation of uncertainty in rigid body attitude flows", in Proceedings of the IEEE Conference on Decision and Control, pp. 2689--2694, 2007
- E. Fahnestock, T. Lee, M. Leok, N. H. McClamroch, D. Scheeres, "Polyhedral potential and variational integrator computation of the full two body problem", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, 2006, AIAA 2006-6289
- T. Lee, M. Leok, N. H. McClamroch, "Optimal control of a rigid body using geometrically exact computations on SE(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 2170--2175, 2006
- T. Lee, M. Leok, N. H. McClamroch, "Attitude Maneuvers of a Rigid Spacecraft in a Circular Orbit", in Proceedings of the American Control Conference, pp. 1742--1747, 2006
- T. Lee, A. Sanyal, M. Leok, N. H. McClamroch, "Deterministic global attitude estimation", in Proceedings of the IEEE Conference on Decision and Control, pp. 3174--3179, 2006
- T. Lee, M. Leok, N. H. McClamroch, "A Lie group variational integrator for the attitude dynamics of a rigid body with application to the 3D pendulum", in Proceedings of the IEEE Conference on Control Application, pp. 962--967, 2005
- T. Lee, Y. Kim, D. Kim, "Stability Analysis of Nonlinear Flight Control Using Neural Networks", in Proceedings of the 3rd Asian Control Conference, 2000
- T. Lee, Y. Kim, "Robust Nonlinear Control of Flight Dynamics Using Backstepping Controller", in Proceedings of the Korean Society for Aeronautical and Space Sciences Fall Conference, 1999
- T. Lee, Y. Kim, "Nonlinear Adaptive Control of Flight Dynamics Using Backstepping and Neural Networks Controller", in Proceedings of the Institute of Control, Automation, and System Engineering 5th Conference, 1999
- J. Ahn, T. Lee, Y. Kim, "Real-Time Missile Trajectory Optimization using Parameter Optimization", in Proceedings of the Japan Society for Aeronautical and Space Sciences (JSASS) 13th International Sessions in 37th Aircraft Symposium, 1999