8 citations · 11 across the 7 of their papers we have counts for
7 papers
Computational Geometric Optimal Control of Rigid Bodies
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
This paper formulates optimal control problems for rigid bodies in a geometric manner and it presents computational procedures based on this geometric formulation for numerically s…
Global Symplectic Uncertainty Propagation on SO(3)
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
This paper introduces a global uncertainty propagation scheme for rigid body dynamics, through a combination of numerical parametric uncertainty techniques, noncommutative harmonic…
Time Optimal Attitude Control for a Rigid Body
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angula…
Nonlinear Dynamics of the 3D Pendulum
Nalin A. Chaturvedi, Taeyoung Lee, Melvin Leok +1
A 3D pendulum consists of a rigid body, supported at a fixed pivot, with three rotational degrees of freedom. The pendulum is acted on by a gravitational force. Symmetry assumption…
A Combinatorial Optimal Control Problem for Spacecraft Formation Reconfiguration
Taeyoung Lee, N. Harris McClamroch, Melvin Leok
We consider a spacecraft formation reconfiguration problem in the case of identical spacecraft. This introduces in the optimal reconfiguration problem a permutational degree of fre…
Propagation of Uncertainty in Rigid Body Attitude Flows
Taeyoung Lee, Nalin A. Chaturvedi, Amit K. Sanyal +2
Motivated by attitude control and attitude estimation problems for a rigid body, computational methods are proposed to propagate uncertainties in the angular velocity and the attit…