Stability analysis of standard and non-standard nonlinear singularly perturbed system with uncertainty

Author

Park, Kyun-Sang ; Jo, Hyun-Wook ; Lim, Jong-Tae

Author_Institution

Dept. of Electr. Eng., KAIST, Daejeon, South Korea

fYear

2012

fDate

17-21 Oct. 2012

Firstpage

1833

Lastpage

1837

Abstract

In this paper, we consider the stability analysis of standard and non-standard nonlinear singularly perturbed systems with uncertainties. First, the uncertain standard nonlinear singularly perturbed system is analyzed by using the exponential stability of the nominal singularly perturbed system. Next, the non-standard nonlinear singularly perturbed system with uncertainties is decomposed into two standard nonlinear singularly perturbed systems with uncertainties. Then, we analyze the stability analysis of the uncertain non-standard nonlinear singularly perturbed system based on two standard nonlinear singularly perturbed systems with uncertainties.

Keywords

asymptotic stability; nonlinear control systems; singularly perturbed systems; uncertain systems; exponential stability; stability analysis; uncertain nonstandard nonlinear singularly perturbed system; uncertain standard nonlinear singularly perturbed system; Delay; Equations; Lyapunov methods; Robust stability; Stability analysis; Standards; Uncertainty; Lyapunov function method; robust stability; singular perturbation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems (ICCAS), 2012 12th International Conference on

Conference_Location

JeJu Island

Print_ISBN

978-1-4673-2247-8

Type

conf

Filename

6393144