H∞ Controllers With a PID Structure

[+] Author and Article Information
M. J. Grimble

Industrial Control Unit, Department of Electronic & Electrical Engineering, University of Strathclyde, Glasgow G1 1XW, Scotland

J. Dyn. Sys., Meas., Control 112(3), 325-336 (Sep 01, 1990) (12 pages) doi:10.1115/1.2896149 History: Received November 25, 1987; Revised December 09, 1988; Online March 17, 2008


A review is given of the new H∞ Observations Weighted (HOW) optimal control law. The conditions under which the H∞ controller has a PID structure are identified and some implications for PID controller design are discussed. The simple form of this H∞ control law makes it easy to analyse and design. Examples are presented of the design procedure which involves the specification of the cost-function weighting transfer functions. The controller may be applied in applications where fast computational procedures are important.

Copyright © 1990 by The American Society of Mechanical Engineers
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