activity
20052026
most citedControl of Complex Maneuvers for a Quadrotor UAV using Geometric Methods on SE(3)

106 citations · 677 across the 72 of their papers we have counts for

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Showing 2006Show all

8 papers · 1 filter

math.OC2006

Optimal Attitude Control for a Rigid Body with Symmetry

Taeyoung Lee, N. Harris McClamroch, Melvin Leok

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act un…

math.OC2006

Global Attitude Estimation using Single Direction Measurements

Taeyoung Lee, Melvin Leok, N. Harris McClamroch +1

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known referen…

math.NA2006

Polyhedral Potential and Variational Integrator Computation of the Full Two Body Problem

Eugene G. Fahnestock, Taeyoung Lee, Melvin Leok +2

We present a combination of tools which allows for investigation of the coupled orbital and rotational dynamics of two rigid bodies with nearly arbitrary shape and mass distributio…

math.OC2006

Global Optimal Attitude Estimation using Uncertainty Ellipsoids

Amit K. Sanyal, Taeyoung Lee, Melvin Leok +1

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimati…

math.OC2006★ 23 cited

Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems

Anthony M. Bloch, Melvin Leok, Jerrold E. Marsden +1

The method of controlled Lagrangians for discrete mechanical systems is extended to include potential shaping in order to achieve complete state-space asymptotic stabilization. New…

math.OC2006★ 13 cited

Deterministic Global Attitude Estimation

Taeyoung Lee, Amit K. Sanyal, Melvin Leok +1

A deterministic attitude estimation problem for a rigid body in an attitude dependent potential field with bounded measurement errors is studied. An attitude estimation scheme that…