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Finite-time impulsive observers for nonlinear systems represented by Takagi–Sugeno models: Application to a chaotic system

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  • Yacine, Zedjiga
  • Hamiche, Hamid
  • Djennoune, Saïd
  • Mammar, Saïd

Abstract

In this paper, observer design for nonlinear systems represented by Takagi Sugeno models (T-S) is investigated. The first main contribution concerns the finite time convergence of the estimations, ensured by an impulsive observer with state updates. The second contribution, lies with taking into account unmeasurable parameters, using the Differential Mean Value Theorem (DMVT) to express the disturbed error dynamics into a Linear Parameter Varying system. The stability conditions are formulated in terms of Linear Matrix Inequalities (LMI). To prove the efficiency of the proposed procedure, applications are performed on a chaotic system. The obtained results are pretty satisfying.

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  • Yacine, Zedjiga & Hamiche, Hamid & Djennoune, Saïd & Mammar, Saïd, 2022. "Finite-time impulsive observers for nonlinear systems represented by Takagi–Sugeno models: Application to a chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 321-352.
    • Handle: RePEc:eee:matcom:v:192:y:2022:i:c:p:321-352
    DOI: 10.1016/j.matcom.2021.09.008
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    References listed on IDEAS

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    1. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    2. Hamiche, Hamid & Takhi, Hocine & Messadi, Manal & Kemih, Karim & Megherbi, Ouerdia & Bettayeb, Maamar, 2021. "New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 194-217.
    3. Anguiano-Gijón, Carlos Alberto & Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Romero-Galván, Gerardo & Martínez-Reyes, Fernando, 2019. "On predefined-time synchronisation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 172-178.
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    Cited by:

    1. Derakhshannia, Mehran & Moosapour, Seyyed Sajjad, 2022. "Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 610-628.

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