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IMA Journal of Mathematical Control and Information 2005 22(3):257-265; doi:10.1093/imamci/dni022
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© The Author 2005. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved.

Robust output feedback controller design: genetic algorithm approach

Ivan Sekaj * and Vojtech Vesely §

Department of Automatic Control Systems, Slovak University of Technology in Bratislava, Ilkovicova 3, 81219 Bratislava, Slovak Republic

This paper proposes guaranteed cost design of robust output feedback controller for continuous linear parametric uncertain systems. New necessary and sufficient conditions for static output feedback stabilizability of linear continuous time systems underlie the design procedure. Proposed algorithms are computationally simple and tightly connected with the Lyapunov stability theory and the LQR optimal state feedback design. The proposed approach allows prescription of the structure of the output feedback gain matrix (including the decentralized one) by the designer. The new design method proposed in this paper exploits a genetic algorithm to design a robust controller with guaranteed cost for polytopic linear continuous time systems. A numerical example is given to illustrate the performance of the proposed robust controller.

Keywords: robust controller; linear systems; genetic algorithm.

* Email: ivan.sekaj{at}stuba.sk

§ Email: vojtech.vesely{at}stuba.sk


Received on 30 January 2003.


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