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TECHNICAL BRIEFS

Nonlinear PI Compensators That Achieve High Performance

[+] Author and Article Information
S. M. Shahruz

Berkeley Engineering Research Institute, P.O. Box 9984, Berkeley, CA 94709

A. L. Schwartz

Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory, University of California, Berkeley, CA 94720

J. Dyn. Sys., Meas., Control 119(1), 105-110 (Mar 01, 1997) (6 pages) doi:10.1115/1.2801198 History: Received February 23, 1995; Revised March 06, 1996; Online December 03, 2007

Abstract

In this paper, linear time-invariant single-input single-output (SISO) systems that are stabilizable by a (linear) proportional and integral (PI) compensator are considered. For such systems a five-parameter nonlinear PI compensator is proposed. The parameters of the proposed compensator are tuned by solving an optimization problem. The optimization problem always has a solution. Additionally, a general non-linear PI compensator is proposed and is approximated by easy-to-compute compensators, for instance, a six-parameter nonlinear compensator. The parameters of the approximate compensators are tuned to satisfy an optimality condition. The superiority of the proposed nonlinear PI compensators over the linear PI compensator is discussed and is demonstrated for a feedback system.

Copyright © 1997 by The American Society of Mechanical Engineers
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