Robust dissipativity of nonlinear systems with state dependent uncertainties

Author

Shen, Tielong ; Tamura, Katsutoshi

Author_Institution

Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3842

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652460

Filename

652460