Guaranteed cost control of uncertain nonlinear systems via polynomial Lyapunov functions

Author

Coutinho, D. ; Trofino, A. ; Fu, M.

Author_Institution

Dept. of Electr. & Comput. Eng., Newcastle Univ., Callaghan, NSW, Australia

Volume

4

fYear

2001

fDate

2001

Firstpage

3844

Abstract

In this paper, we consider the problem of guaranteed cost control for a class of uncertain nonlinear systems. We derive LMI conditions for the regional robust stability and performance problem based on Lyapunov functions which are polynomial functions of the state and uncertain parameters. Based on the stability results, we discuss the synthesis problem for a class of affine control systems. Numerical examples are presented to illustrate our method

Keywords

Lyapunov matrix equations; control system synthesis; nonlinear control systems; polynomial matrices; robust control; stability criteria; uncertain systems; LMI conditions; affine control system synthesis; guaranteed cost control; performance problem conditions; polynomial Lyapunov functions; polynomial functions; regional robust stability conditions; state parameters; uncertain nonlinear systems; uncertain parameters; Automatic control; Control system synthesis; Control systems; Cost function; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Robustness; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980464

Filename

980464