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Multi-Objective H2/H∞ Static Output Feedback Control: A Hybrid LMI/Genetic Algorithm Approach

[+] Author Affiliations
Ahmed H. El-Shaer

Lund University, Lund, Sweden

Masayoshi Tomizuka

University of California, Berkeley, Berkeley, CA

Paper No. DSCC2010-4126, pp. 515-521; 7 pages
  • ASME 2010 Dynamic Systems and Control Conference
  • ASME 2010 Dynamic Systems and Control Conference, Volume 2
  • Cambridge, Massachusetts, USA, September 12–15, 2010
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4418-2 | eISBN: 978-0-7918-3884-6
  • Copyright © 2010 by ASME


This paper is concerned with the synthesis of static output feedback (SOF) control satisfying multi-objective H2 /H∞ performance for LTI systems. Given an initially stabilizing SOF gain Ko , an estimate of the set of stabilizing gains is obtained using Monte Carlo based randomized search. A synthesis algorithm which combines both linear matrix inequalities (LMIs) and genetic algorithms (GA) is proposed. To improve the efficiency of this hybrid algorithm, the GA employs a projection-like operation so that the solution candidates lie in the interior of the set of stabilizing gains in a neighborhood of Ko .

Copyright © 2010 by ASME



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