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Observer design for switching nonlinear systems

Abstract : In this paper we consider observer design for discrete-time switching systems represented by Takagi-Sugeno fuzzy models. For the design we use a switching Lyapunov function defined on the switches. In order to develop stability conditions for the estimation error dynamics, we consider the variation of this function along possible switches. The conser-vativeness of the approach is reduced by considering the α-sample variation of the Lyapunov function. This approach can bring solutions to observer design for some switching systems with unobservable and unstable local models. The developed conditions are illustrated on a numerical example.
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Submitted on : Thursday, April 21, 2022 - 10:13:06 AM
Last modification on : Thursday, April 21, 2022 - 10:41:06 AM
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Zsofia Lendek, Paula Raica, Jimmy Lauber, Thierry-Marie Guerra. Observer design for switching nonlinear systems. 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), IEEE, Jul 2014, Pékin, China. ⟨10.1109/FUZZ-IEEE.2014.6891625⟩. ⟨hal-03469210⟩



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