Title :
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
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371157
