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Local stabilization of discrete-time nonlinear systems

Abstract : This paper considers local stability analysis and local stabilization of discrete-time nonlinear systems represented by Takagi-Sugeno fuzzy models. Conditions are established using Lyapunov functions and controller gains that depend also on past samples. Together with the stability and design conditions, an estimate of the region of attraction is also determined. The developed conditions are discussed and illustrated on numerical examples.
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Submitted on : Wednesday, November 10, 2021 - 2:27:35 PM
Last modification on : Thursday, November 11, 2021 - 4:00:05 AM

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Zsofia Lendek, Jimmy Lauber. Local stabilization of discrete-time nonlinear systems. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2020, ⟨10.1109/TFUZZ.2020.3031383⟩. ⟨hal-03424347⟩

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