Switched state feedback control for continuous-time uncertain systems.

*(English)*Zbl 1158.93341Summary: 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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\textit{J. C. Geromel} and \textit{G. S. Deaecto}, Automatica 45, No. 2, 593--597 (2009; Zbl 1158.93341)

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##### References:

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