Guaranteed cost control of uncertain nonlinear systems via polynomial lyapunov functions

Author

Coutinho, Daniel ; Trofino, Alexandre ; Fu, Minyue

Author_Institution

Dept. of Autom. & Syst., Univ. Fed. de Santa Catarina, Brazil

Volume

47

Issue

9

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

1575

Lastpage

1580

Abstract

In this paper, we consider the problem of guaranteed cost control for a class of uncertain nonlinear systems. We derive linear matrix inequality conditions for the regional robust stability and performance problems based on Lyapunov functions which are polynomial functions of the state and uncertain parameters. The performance index is calculated over a set of initial conditions. Also, we discuss the synthesis problem for a class of affine control systems. Numerical examples illustrate our method.

Keywords

Lyapunov methods; convex programming; feedback; nonlinear control systems; polynomial matrices; uncertain systems; affine control systems synthesis; guaranteed cost control; initial conditions; linear matrix inequality conditions; performance index; polynomial Lyapunov functions; regional robust stability; uncertain nonlinear systems; uncertain parameters; Control system synthesis; Control systems; Cost function; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Performance analysis; Polynomials; Robust stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2002.802737

Filename

1032322