Title :
Robust dissipativity of nonlinear systems with state dependent uncertainties
Author :
Shen, Tielong ; Tamura, Katsutoshi
Author_Institution :
Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
Abstract :
This paper discusses some conditions under which a nonlinear system with state dependent uncertainties is dissipative with general quadratic supply rate. The uncertainty is described by a nonlinear mapping from the state to an input of the system. The mapping is allowed to be memoryless or to have dynamics in itself. It is shown in this paper that the system is robust dissipative with a C1 storage function if there exists a scaling function such that Hamilton-Jacobi inequality has a nonnegative solution, and the condition is also necessary under some additional conditions
Keywords :
control system analysis; nonlinear systems; robust control; uncertain systems; Hamilton-Jacobi inequality; dissipativity; nonlinear mapping; nonlinear systems; robust control; scaling function; state dependent uncertainty; uncertain systems; Control system synthesis; Design engineering; Jacobian matrices; Mechanical engineering; Nonlinear dynamical systems; Nonlinear systems; Robust control; Robustness; Symmetric matrices; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652460
