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Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays

Abstract : We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties.
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https://hal.archives-ouvertes.fr/hal-00121714
Contributor : Claude Iung <>
Submitted on : Thursday, December 21, 2006 - 4:03:11 PM
Last modification on : Friday, October 23, 2020 - 8:38:03 AM

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Laurentiu Hetel, Jamal Daafouz, Claude Iung. Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2006, 51 (10), pp.1668-1674. ⟨10.1109/TAC.2006.883030⟩. ⟨hal-00121714⟩

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