Estimating delay-dependent stability regions for a class of nonlinear time-delay systems

Author

de Souza, Carlos E. ; Coutinho, Daniel F.

Author_Institution

Dept. of Syst. & Control, Lab. Nac. de Comput. Cienc. (LNCC/MCT), Petropolis, Brazil

fYear

2007

fDate

2-5 July 2007

Firstpage

4825

Lastpage

4832

Abstract

A convex approach is proposed to estimate delay-dependent stability regions for a class of nonlinear systems with a constant state-delay and subject to convex-bounded parameter uncertainty. The approach is based on a Lyapunov-Krasovskii functional with polynomial dependence on the system state and uncertain parameters. A delay-dependent stability analysis method is developed in terms of linear matrix inequalities by means of suitable system and Lyapunov function representations. Numerical examples illustrate the proposed method.

Keywords

Lyapunov methods; delays; linear matrix inequalities; nonlinear control systems; polynomials; stability; Lyapunov function representation; Lyapunov-Krasovskii functional; constant state-delay; convex approach; convex-bounded parameter uncertainty; delay-dependent stability analysis method; delay-dependent stability region estimation; linear matrix inequalities; nonlinear time-delay system; polynomial dependence; Matrix decomposition; Polynomials; Robustness; Stability analysis; Symmetric matrices; Trajectory; Vectors; LMIs; Time-delay systems; convex-bounded uncertainty; delay-dependent stability; nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068543