Robust sampled-data stabilization of linear systems - An input delay approach

Abstract : A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems. The only restriction on the sampling is that the distance between the sequel sampling times is not greater than some prechosen h>0 for which the LMIs are feasible. For h → 0 the conditions coincide with the necessary and sufficient conditions for continuous-time state-feedback stabilization. Our approach is applied to two problems: to sampled-data stabilization of systems with polytopic type uncertainities and to regional stabilization by sampled-data saturated state-feedback.
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Automatica, Elsevier, 2004
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Emilia Fridman, Alexandre Seuret, Jean-Pierre Richard. Robust sampled-data stabilization of linear systems - An input delay approach. Automatica, Elsevier, 2004. 〈inria-00131031〉

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