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

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. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

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This paper investigates observer design for nonlinear systems using Takagi-Sugeno models, focusing on finite time convergence of estimations with an impulsive observer and consideration of unmeasurable parameters using the DMVT method. The disturbed error dynamics are expressed as a Linear Parameter Varying system, and stability conditions are formulated using LMI. Applications on a chaotic system demonstrate the efficiency of the proposed procedure, with satisfying results obtained. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.