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Zbl 1072.93018
Fridman, Emilia; Seuret, Alexandre; Richard, Jean-Pierre
Robust sampled-data stabilization of linear systems: an input delay approach. (English)
[J] Automatica 40, No. 8, 1441-1446 (2004). ISSN 0005-1098

The authors develop necessary LMI conditions for checking whether a linear static state feedback asymptotically stabilizes a linear sampled-data system with known bound on the sampling rate. The results are obtained by interpreting sampling as a time-varying uncertain delay and by representing the resulting system in descriptor form. The LMIs are show to be feasible for continuous-time stabilizing controllers under sufficiently fast sampling. Extensions to saturated feedback laws are also discussed.
[Lars Grüne (Bayreuth)]

MSC 2000:: *93C57 Sampled-data control systems
93D15 Stabilization of systems by feedback
93C05 Linear control systems
15A39 Linear inequalities
34A09 Implicit equations

Keywords: sampled-data stabilization; delay; descriptor system; saturation; linear matrix inequality

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