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On stabilization of discrete-time periodic TS systems

Abstract : In this paper we consider controller design for periodic Takagi-Sugeno fuzzy models. For this, we use a periodic nonquadratic Lyapunov function defined at the time instants when the subsystems switch. Using the proposed conditions we are able to handle periodic Takagi-Sugeno systems where the local models or even the subsystems are unstable or cannot be stabilized. The application of the conditions is illustrated on numerical examples.
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https://hal-uphf.archives-ouvertes.fr/hal-03461732
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Submitted on : Thursday, April 21, 2022 - 11:00:58 AM
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Zsofia Lendek, Jimmy Lauber, Thierry-Marie Guerra, Paula Raica. On stabilization of discrete-time periodic TS systems. IEEE International Conference on Fuzzy Systems, Jul 2013, Hyderabad, India. ⟨10.1109/FUZZ-IEEE.2013.6622308⟩. ⟨hal-03461732⟩

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