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Nonfragile Controller Design for Linear Markovian Jumping Parameters Systems
Authors:Boukas  E. K.
Affiliation:(1) GERAD and Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Québec, Canada
Abstract:This paper deals with the uncertain class of continuous-time linear systems with Markovian jumping parameters. A design method for a nonfragile robust controller for this class of systems is proposed when the uncertainties in the system matrices are of the norm-bounded type. An LMI based sufficient condition is developed. The methodology used is based mainly on the Lyapunov approach. A numerical example is presented to show the usefulness of the proposed results.
Keywords:Jump linear systems  linear matrix inequalities  stochastic stability  state feedback control  norm-bounded uncertainties
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