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RESEARCH PAPERS: Papers on Control Mechanics

An Eclectic Approach to the State Feedback Control of Nonlinear Dynamical Systems

[+] Author and Article Information
S. H. Żak

School of Electrical Engineering, Purdue University, West Lafayette, IN 47907

J. Dyn. Sys., Meas., Control 111(4), 631-640 (Dec 01, 1989) (10 pages) doi:10.1115/1.3153106 History: Received January 26, 1988; Online July 21, 2009

Abstract

This paper examines the problem of robust state-feedback stabilization of a class of nonlinear multi-input dynamical systems. Four approaches to the problem are investigated: the variable structure control (VSC) method, the high-gain feedback technique, the feedback linearization algorithm, and finally the deterministic approach to the control of uncertain systems. It is shown that each design method can lead to a controller such that the closed-loop system exhibits a sliding mode property. The sliding mode is a desirable property since it results in a robust control. The analysis is illustrated by means of a simple numerical example.

Copyright © 1989 by ASME
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