Optimal Redesign of Linear Systems

[+] Author and Article Information
K. M. Grigoriadis

Department of Mechanical Engineering, University of Houston, Houston, TX 77204

G. Zhu

Cummins Engine Company, Mail Code 50197, Columbus, IN 47201

R. E. Skelton

Structural Systems Control Laboratory, Purdue University, 1293 Potter Building, West Lafayette, IN 47907-1293

J. Dyn. Sys., Meas., Control 118(3), 598-605 (Sep 01, 1996) (8 pages) doi:10.1115/1.2801186 History: Received December 08, 1993; Online December 03, 2007


This paper proposes a redesign procedure for linear systems. We suppose that an initial satisfactory controller which yields the desired performance is given. Then both the plant and the controller are redesigned to minimize the required active control effort. Either the closed-loop system matrix or the closed-loop covariance matrix of the initial design can be preserved under the redesign. Convex quadratic programming solves this problem. In addition, an iterative approach for integrated plant and controller design is proposed, which uses the above optimal plant/controller redesign in each iterative step. The algorithm has guaranteed convergence and provides a sequence of designs with monotonically decreasing active control effort. Examples are included to illustrate the procedure.

Copyright © 1996 by The American Society of Mechanical Engineers
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