Robust output feedback controller design: genetic algorithm approach

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.