A possible new way for stabilizing by smooth feedback-a rigid body under only one control torque

Author

Siguerdidjane, H.B.

Author_Institution

Ecole Superieure d´´Electricite, Gif-sur-Yvette, France

fYear

1992

fDate

1992

Firstpage

1618

Abstract

The author deals with the motion of a rigid body under only one control torque. The method is based on the construction of the exact analytical solution of the closed loop system in terms of its nonlinear eigenvalues and eigenvectors. In other words, this solution may be the trajectory that the system has to track. The expression of the applied smooth feedback simply comes from the compatibility conditions of the whole differential equations. The stability algebraic conditions are therefore deduced in terms of these eigenvalues

Keywords

closed loop systems; eigenvalues and eigenfunctions; feedback; position control; stability; closed loop system; compatibility conditions; control torque; nonlinear eigenvalues; rigid body; smooth feedback; stability algebraic conditions; trajectory; whole differential equations; Angular velocity; Closed loop systems; Control systems; Differential equations; Eigenvalues and eigenfunctions; Feedback; Linear feedback control systems; Motion control; Negative feedback; Nonlinear equations; Stability; Torque control; Trajectory;

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.1992.371157

Filename

371157