Title :
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
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;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9
