DESIGN OF ROBUST OUTPUT FEEDBACK CONTROLLER VIA LMI APPROACH

Vojtech Veselý - Alena Kozáková - Demetrios P. Papadopoulos

   In this paper, the linear matrix inequality (LMI) conditions for output feedback control problems are presented. The underlying theory is based upon the necessary and sufficient conditions for static output feedback quadratic stabilizability of continuous time-invariant polytopic systems. The proposed two computationally simple LMI-based algorithms (the V-K iterative and non-iterative one) are tightly connected with the Lyapunov stability theory and the LQR state feedback design.

Keywords: LMI conditions, robust output feedback stabilization, polytopic systems, guaranteed cost

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