<inline-formula> <tex-math notation="LaTeX">$H\infty$</tex-math> </inline-formula> LMI-Based Observer Design for Nonlinear Systems via Takagi–Sugeno Models With Unmeasured Premise Variables - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Fuzzy Systems Année : 2018

$H\infty$ LMI-Based Observer Design for Nonlinear Systems via Takagi–Sugeno Models With Unmeasured Premise Variables

Résumé

This paper is concerned with state estimation for continuous-time nonlinear systems. By means of a polytopic exact representation of the system using interpolation functions whose premise variables can be unmeasured, the differential mean value theorem and a quadratic Lyapunov function are used to provide conditions in the form of linear matrix inequalities, guaranteeing the state estimation error to be asymptotically driven to zero. A robust extension of the proposed observer design performing H∞ disturbance rejection is also presented. Examples illustrating the effectiveness of the developed novelties against former results are included
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Dates et versions

hal-02403875 , version 1 (11-12-2019)

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Citer

Thierry-Marie Guerra, Raymundo Márquez Borbόn, Alexandre Kruszewski, Miguel Bernal. $H\infty$ LMI-Based Observer Design for Nonlinear Systems via Takagi–Sugeno Models With Unmeasured Premise Variables. IEEE Transactions on Fuzzy Systems, 2018, 26 (3), pp.1498-1509. ⟨10.1109/TFUZZ.2017.2728522⟩. ⟨hal-02403875⟩
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