Sliding mode control for singularly perturbed system

Author

Ahmed, A.E. ; Schwartz, Howard M. ; Aitken, Vicvor C.

Author_Institution

Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada

Volume

3

fYear

2004

fDate

20-23 July 2004

Firstpage

1946

Abstract

When dealing with large scale systems, the dimension and ill condition of the state matrix motivate the use of model order reduction methods. Singular perturbation theory is found to be a good approach to obtain a reduced order model. This article presents the use of a single sliding mode controller designed for the slow component of singular perturbed system. The stability analysis is investigated using the Lyapunov approach. We provide sufficient condition for asymptotic stability of the full order singular perturbed system.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; large-scale systems; reduced order systems; singularly perturbed systems; variable structure systems; Lyapunov approach; asymptotic stability; large scale system; model order reduction method; singularly perturbed system; sliding mode control; stability analysis; state matrix; Asymptotic stability; Closed loop systems; Control systems; Eigenvalues and eigenfunctions; Equations; Lyapunov method; Reduced order systems; Sliding mode control; Stability analysis; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2004. 5th Asian

Conference_Location

Melbourne, Victoria, Australia

Print_ISBN

0-7803-8873-9

Type

conf

Filename

1426928