DocumentCode
2268461
Title
Guaranteed cost analysis and control for a class of uncertain nonlinear discrete-time systems
Author
Coutinho, D.F. ; Fu, M. ; Trofino, A.
Author_Institution
Dept. of Electr. Eng., Pontificia Univ., Porto Alegre, Brazil
Volume
3
fYear
2003
fDate
4-6 June 2003
Firstpage
2341
Abstract
This paper deals with the problem of guaranteed cost analysis and control of a class of nonlinear discrete-time systems with uncertain parameters. We use polynomial Lyapunov functions to derive stability conditions with a guaranteed bound on the 2-norm of the performance output in terms of linear matrix inequalities (LMIs). We then extend this approach to the control design by considering parameter-dependent Lyapunov functions and nonlinear (stateand parameter-dependent) multipliers.
Keywords
Lyapunov methods; control system synthesis; discrete time systems; linear matrix inequalities; nonlinear systems; polynomials; stability; uncertain systems; LMI; control design; cost analysis; discrete-time systems; linear matrix inequality; nonlinear multipliers; nonlinear systems; polynomial Lyapunov functions; stability conditions; Control design; Control system analysis; Control systems; Costs; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Polynomials; Robust control; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2003. Proceedings of the 2003
ISSN
0743-1619
Print_ISBN
0-7803-7896-2
Type
conf
DOI
10.1109/ACC.2003.1243424
Filename
1243424
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