Sliding Mode Control Design in Multi-Input Perturbed Discrete-Time Systems

[+] Author and Article Information
Wen-June Wang, Rong-Chyang Lee, Dah-Ching Yang

Institute of Computer Science and Electronic Engineering, National Central University, Chung-Li 320, Taiwan. Dr. Wen-June Wang was a visiting scholar in the School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332 from March 1994 to Feb. 1995

J. Dyn. Sys., Meas., Control 118(2), 322-327 (Jun 01, 1996) (6 pages) doi:10.1115/1.2802321 History: Received January 24, 1992; Revised December 05, 1994; Online December 03, 2007


Variable structure control (VSC) design in multi-input discrete-time systems has two main difficulties: one is the satisfaction of the hitting condition and the other is the handle of the state trajectory in (quasi) sliding mode. The former is caused by the multiple inputs of the system, and the latter is caused by that the perturbation exists and the sliding surface is a bounded region but not only the hyperplane S = 0. This paper overcomes the above two difficulties successfully and designs the sliding region, the sliding control Us and the hitting control Ud such that the system’s state can reach the sliding hyperplane (in fact it is a region) and finally moves to the origin.

Copyright © 1996 by The American Society of Mechanical Engineers
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