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Algebraic observer for a class of switched systems with Zeno phenomenon

Gang Zheng 1 Lei Yu 1, 2, 3 Driss Boutat 4 Jean-Pierre Barbot 1, 2 
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : For a large class of switched systems with zeno phenomenon, classical observer cannot be applied directly since the terms leading to zeno phenomenon are not derivable. However in this paper, by assuming that these terms are integrable in the less restrictive way, we can define a new output, with which algebraic observer can then be adopted to estimate the states of the studied switched systems with zeno phenomenon. For simplicity, the main idea is explained via normal forms, while it can also be extended to generic switched systems.
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Submitted on : Sunday, October 11, 2009 - 11:45:35 AM
Last modification on : Saturday, June 25, 2022 - 10:10:55 AM
Long-term archiving on: : Tuesday, October 16, 2012 - 12:06:36 PM


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  • HAL Id : inria-00423493, version 1



Gang Zheng, Lei Yu, Driss Boutat, Jean-Pierre Barbot. Algebraic observer for a class of switched systems with Zeno phenomenon. 48th IEEE Conference on Decision and Control, CDC 2009, Dec 2009, shanghai, China. ⟨inria-00423493⟩



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