Title :
Time-varying stabilizing feedback control for nonlinear systems with drift
Author :
Michalska, Hannah ; Torres-Torriti, Miguel
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
A novel method is presented for the construction of time-varying stabilizing feedback control for nonlinear systems with drift. The proposed feedback law is a composition of a periodic time-varying control and an asymptotically stabilizing feedback "correction" term. The periodic control is obtained through the solution of an open-loop control problem on the associated Lie group, which is posed as a trajectory interception problem in Philip-Hall flow coordinates
Keywords :
Lie groups; asymptotic stability; feedback; nonlinear control systems; periodic control; time-varying systems; Lie group; Philip-Hall flow coordinates; asymptotically stabilizing feedback correction term; drift; nonlinear systems; open-loop control problem; periodic time-varying control; time-varying stabilizing feedback control; trajectory interception problem; Algebra; Control systems; Equations; Feedback control; Gold; Hydrogen; Motion control; Nonlinear systems; Open loop systems; Time varying systems;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981159
