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Article Dans Une Revue Journal of The Franklin Institute Année : 2023

Observer design with exponential time-varying gain for Takagi–Sugeno fuzzy systems with continuous and aperiodic sampled outputs

Résumé

In this paper, an observer with exponential time-varying gain is proposed for a class of nonlinear systems in Takagi–Sugeno form with both continuous-time and aperiodic sampled outputs. The proposed observer consists of two parts: one related to the continuous-time outputs and one related to the discrete outputs. Sufficient conditions involving a tuning parameter and the maximum allowed sampling time are derived in terms of quasi linear matrix inequality with respect to a scalar to ensure asymptotic convergence of the observer on the basis of Lyapunov–Krasovskii functional and approach. Numerical simulations are provided to show the benefits of the proposed observer. Some comparisons with the high gain continuous-discrete observer and fuzzy observer with constant gain are provided to illustrate the interest of the proposed scheme.
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Dates et versions

hal-04239455 , version 1 (12-10-2023)

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Citer

Hiba Fawzia Bouchama, Michael Defoort, Jimmy Lauber, Denis Berdjag. Observer design with exponential time-varying gain for Takagi–Sugeno fuzzy systems with continuous and aperiodic sampled outputs. Journal of The Franklin Institute, 2023, 360 (13), pp.10041-10063. ⟨10.1016/j.jfranklin.2023.07.038⟩. ⟨hal-04239455⟩
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