Decentralized Variable Structure Control Design in Perturbed Nonlinear Systems

[+] Author and Article Information
Wen-June Wang, Jia-Ling Lee

Department of Electrical Engineering, National Central University, Chung-Li, 32054 Taiwan

J. Dyn. Sys., Meas., Control 115(3), 551-554 (Sep 01, 1993) (4 pages) doi:10.1115/1.2899137 History: Received March 14, 1991; Revised September 18, 1992; Online March 17, 2008


This paper presents a new robust decentralized variable structure control (DVSC) to stabilize a class of perturbed nonlinear large-scale systems. Only the bounds of perturbations, disturbances and interconnections of the system are needed. Based on Lyapunov theory, the DVSC is designed such that a Lyapunov function converges to a composite switching hyperplane in finite time, at least with an exponential rate. Our design method need not use the dynamic compensation or the integral of interconnections in the sliding mode definition, or the hierarchical control. Furthermore, both the convergence rate and the hitting time can be assigned. Finally, a two-pendulum system is given to illustrate the design method.

Copyright © 1993 by The American Society of Mechanical Engineers
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