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Switched state feedback control for continuous-time uncertain systems. (English) Zbl 1158.93341
Summary: This paper is concerned to design a switched state feedback robust control for continuous-time systems subject to norm bounded uncertainty. As important features of the proposed design method, we mention that it can handle a general LFT structure for the uncertainty and it is based on stability conditions that can be numerically solved by means of LMIs and a line search. Moreover, the switching rule as well as the state feedback gains are determined from the minimization of a guaranteed cost function derived from a multi-objective criterion. The theoretical results are illustrated with an academic example.

MSC:
93B52 Feedback control
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C41 Control/observation systems with incomplete information
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