Title :
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
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;
Conference_Titel :
Control, Automation and Systems (ICCAS), 2012 12th International Conference on
Conference_Location :
JeJu Island
Print_ISBN :
978-1-4673-2247-8
