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TECHNICAL BRIEFS

Output Feedback Stabilizing Control With an H∞ Bound on Disturbance Attenuation

[+] Author and Article Information
B. C. Fabien

Department of Mechanical Engineering, Ohio University, Athens, Ohio 45701

J. Dyn. Sys., Meas., Control 115(3), 531-535 (Sep 01, 1993) (5 pages) doi:10.1115/1.2899132 History: Received November 07, 1991; Revised September 04, 1992; Online March 17, 2008

Abstract

This paper considers the design of direct output static and dynamic stabilizing controllers for linear systems. Here, the controllers that stabilize the closed-loop system must satisfy an H∞ disturbance attenuation constraint. Sufficient conditions for the existence of such controllers are presented in the form of two coupled nonlinear matrix equations. These conditions are derived by solving a mixed-norm H2 /H∞ optimal control problem. The solution of these equations via a continuation method is also presented. Using the solution algorithm, a fixed order stabilizing controller gain matrix that minimizes the H∞ norm of the closed-loop transfer function can be computed. The controller design technique is applied to the vertical dynamics of an aircraft. It is shown that the performance of the reduced order controllers designed using the technique proposed in this paper is superior to that of full order controllers obtained using the standard LQG approach.

Copyright © 1993 by The American Society of Mechanical Engineers
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