Title :
Guaranteed cost control of uncertain nonlinear systems: a minimax approach
Author_Institution :
Louisiana State Univ., Baton Rouge, LA
Abstract :
We develop a guaranteed cost control for nonlinear uncertain systems. We first discuss the relationship between the idea of guaranteed cost control and dissipative feedback which have been independently studied in the literature on robust control. We then apply the idea of guaranteed cost control to solve the robust control problem for nonlinear systems. We give necessary and sufficient conditions for the solvability of this problem in terms of certain Hamilton-Jacobi Isaac´s inequalities
Keywords :
feedback; minimax techniques; nonlinear systems; robust control; uncertain systems; Hamilton-Jacobi Isaac inequality; dissipative feedback; guaranteed cost control; minimax technique; necessary condition; nonlinear systems; robust control; sufficient condition; uncertain systems; Control systems; Control theory; Cost function; Linear systems; Minimax techniques; Nonlinear control systems; Nonlinear systems; Optimal control; Robust control; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831299
