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.
- Dynamic Systems and Control Division
Multi-Objective H2/H∞ Static Output Feedback Control: A Hybrid LMI/Genetic Algorithm Approach
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El-Shaer, AH, & Tomizuka, M. "Multi-Objective H2/H∞ Static Output Feedback Control: A Hybrid LMI/Genetic Algorithm Approach." Proceedings of the ASME 2010 Dynamic Systems and Control Conference. ASME 2010 Dynamic Systems and Control Conference, Volume 2. Cambridge, Massachusetts, USA. September 12–15, 2010. pp. 515-521. ASME. https://doi.org/10.1115/DSCC2010-4126
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