A Robust Control by Extended Static Output Feedback for Discrete-Time Uncertain Linear Systems
نویسندگان
چکیده
This paper presents a novel approach for the controller synthesis in discrete-time linear systems (DTLS) with uncertainty polytopical type, by means of the extended static feedback of the measured output. The method consists of designing feedback gains for the injection of the output and its derivative, which corresponds to the control signal. Conditions for the existence of such controllers are established. The uncertainty parameters are supposed to belong to a polytope. The stabilization problem is formulated in the context of linear matrix inequalities (LMI). Multiobjective performance indices in are also considered, which are described as LMIs. The extended conditions are obtained by means of the well known projection lemma. Performance of the proposed synthesis technique is illustrated by a numerical example. Key-Words: Discrete-time Linear Systems. Static Output Feedback. Robust Control. Polytopical Uncertainty. Linear Matrix Inequalities (LMI).
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