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Variable structure control of nonlinear multivariable systems: a tutorial

Proceedings of the IEEE · 1988 · Vol. 76(3) · pp. 212–232

Raymond A. DeCarlo✉(Purdue University West Lafayette)Stanisław H. Żak(Purdue University West Lafayette)Gregory P. Matthews(General Motors (United States))

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Abstract

The design of variable-structure control (VSC) systems for a class of multivariable, nonlinear, time-varying systems is presented. Using the Utkin-Drazenovic method of equivalent control and generalized Lyapunov stability concepts, the VSC design is described in a unified manner. Complications that arise due to multiple inputs are examined, and several approaches useful in overcoming them are developed. Recent developments are investigated, as is the kinship of VSC and the deterministic approach to the control of uncertain systems. All points are illustrated by numerical examples. The recent literature on VSC applications is surveyed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

Adaptive Control of Nonlinear Systems Advanced Control Systems Optimization Stability and Control of Uncertain SystemsMultivariable calculusNonlinear systemVariable (mathematics)Class (philosophy)Control theory (sociology)Stability (learning theory)Lyapunov functionComputer scienceVariable structure controlControl (management)

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Variable structure control: a survey