An LMI Approach to Static Output Feedback Stabilization Problem for Linear Uncertain Systems

M.N.A. Parlakçı (Turkey)


static output feedback, descriptor approach, norm bounded uncertainty, linear matrix inequalities.


This paper investigates the design of a robust static output feedback controller for a class of linear uncertain systems with norm-bounded time-varying parameter uncertainties. A descriptor type model transformation and the utilization of free weighting matrices are taken into consideration. A linear matrix inequality approach is proposed to develop some sufficient conditions for the existence of a static output feedback controller. Numerical examples are used to demonstrate the effectiveness and applicability of the proposed methodology.

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