A family of optimal nonlinear feedback controllers that globally stabilize angular velocity

Author

Wan, Chih-Jian ; Bernstein, Dennis S.

Author_Institution

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

fYear

1992

fDate

1992

Firstpage

1143

Abstract

Hamilton-Jacobi-Bellman theory is used to derive optimal nonlinear feedback control laws for a special class of nonlinear systems. The results are applied to a spacecraft angular velocity stabilization problem with two torque inputs. A family of optimal nonlinear feedback controllers that globally asymptotically stabilize angular velocity is established. Special cases of this family of controllers include generalizations of the locally stabilizing controllers of Brockett and Aeyels to global stabilization as well as the globally stabilizing controller of Byrnes and Isidori

Keywords

aerospace control; angular velocity control; feedback; nonlinear control systems; optimal control; stability; Hamilton-Jacobi-Bellman theory; aerospace control; angular velocity stabilization; global stabilization; nonlinear systems; optimal nonlinear feedback controllers; spacecraft; Adaptive control; Angular velocity; Angular velocity control; Control systems; Equations; Feedback control; Force control; Nonlinear control systems; Nonlinear systems; Optimal control; Space vehicles; Torque;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371538

Filename

371538