Stabilization of Uncertain Linear Systems via Static Output Feedback Control

In this paper, an LMI-based approach to designing a static output feedback controller is proposed for the stabilization of uncertain linear systems. The uncertain parameters are assumed to be time-invariant and belong to the convex bounded domains (polytopic type). The results are represented in terms of linear matrix inequalities (LMIs). Based on the feasible solution of derived LMIs, a static output feedback gain can be easily determined for stabiliza-tion of the uncertain systems. Continuous-time cases as well as discrete-time cases are studied simultaneously in this paper. Numerical examples show that the present approach allows larger uncertainties than the existing ones do.