A general class of sliding surface for sliding mode control

Author

Chung, Ching-yei Steven ; Lin, Chun-Liang

Author_Institution

Dept. of Autom. Control Eng., Feng-Chia Univ., Taichung, Taiwan

Volume

4

fYear

1996

fDate

11-13 Dec 1996

Firstpage

4597

Abstract

In the conventional sliding mode control, the relative degree of the chosen sliding surface is usually one. This paper addresses a general class of sliding surface whose relative degree is no longer restricted to one. We show that when the relative degree is more than two, it is inevitable that there will exist a limit cycle for the nonlinear sign function. For the case of relative degree two, the system possesses poor phase margin. However, these disadvantages can be overcome by soothing out the control nonlinearity in a suitable boundary layer with a saturation function that ensures globally exponential stability of the overall system

Keywords

control nonlinearities; dynamics; limit cycles; stability; state-space methods; transfer function matrices; variable structure systems; boundary layer; control nonlinearity; dynamics; exponential stability; limit cycle; phase margin; saturation function; sliding mode control; sliding surface; state space model; transfer function matrix; Control nonlinearities; Control system synthesis; Control systems; Drives; Quantum cascade lasers; Sliding mode control; Stability; Transfer functions; Uncertainty; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.577595

Filename

577595