H2H Robust Static Output Feedback Control Design Without Solving Linear Matrix Inequalities

[+] Author and Article Information
R. Toscano

Laboratoire de Tribologie et de Dynamique des Systémes CNRS UMR5513 ECL/ENISE, 58 rue Jean Parot 42023 Saint-Etienne cedex 2 Francetoscano@enise.fr

J. Dyn. Sys., Meas., Control 129(6), 860-866 (Feb 14, 2007) (7 pages) doi:10.1115/1.2745884 History: Received February 27, 2006; Revised February 14, 2007

In this paper, we investigate the problem of robust synthesis of a static output feedback controller, with guaranteed H2H cost, in the context of multiple parametric uncertainties. To solve this problem, a random optimization technique based on a bisection method is proposed. The principle is as follows: For a given initial stabilizing controller of the nominal system, the proposed approach iteratively generates a sequence of matrices with a decreasing H2H cost. By a bisection method, this procedure is stopped when the controller reaches the best possible nominal performance that satisfies a given guaranteed H2H cost. Numerical examples show the practical applicability of the proposed method.

Copyright © 2007 by American Society of Mechanical Engineers
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