Rotational stabilization of a rigid body using two torque actuators

Author

Wan, Chih-Jian ; Bernstein, Dennis S.

Author_Institution

Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

3111

Abstract

The Hamilton-Jacobi-Bellman theorem is used to derive a control law that globally asymptotically stabilizes Euler´s equation to a prescribed state. It is shown that if all three components of the prescribed state are nonzero, then it is impossible to asymptotically stabilize Euler´s equation to that state using only two torque inputs along two principal axes. If two components of the prescribed state are nonzero and one of the two components is in the uncontrolled principal axes, then a family of optimal nonlinear stabilizing feedback control laws is obtained

Keywords

feedback; nonlinear control systems; optimal control; stability; Euler´s equation; Hamilton-Jacobi-Bellman theorem; global asymptotic stability; optimal nonlinear stabilizing feedback control laws; rigid body; rotational stabilization; torque actuators; uncontrolled principal axes; Actuators; Aerodynamics; Angular velocity; Control system analysis; Control systems; Feedback control; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Torque control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325775

Filename

325775