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Simultaneous LMI-based design of dynamic output feedback controller and anti-windup compensator for constrained Takagi-Sugeno fuzzy systems subject to persistent disturbances

Abstract : This paper addresses a new control design method for Takagi-Sugeno fuzzy systems subject to input nonlinearity, state constraints and also persistent disturbances bounded in amplitude. The proposed method aims at designing simultaneously a dynamic output feedback controller together with its associated anti-windup compensator. The design conditions are derived from Lyapunov stability theorem and expressed in terms of linear matrix inequalities (LMIs). In such a way, the design problem can be solved efficiently with available numerical solvers. The validity of the proposed method is illustrated by means of several numerical examples.
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https://hal-uphf.archives-ouvertes.fr/hal-03417322
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Submitted on : Friday, November 5, 2021 - 4:49:48 PM
Last modification on : Wednesday, November 10, 2021 - 9:30:02 AM

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Tran Anh-Tu Nguyen, Antoine Dequidt, Michel Dambrine. Simultaneous LMI-based design of dynamic output feedback controller and anti-windup compensator for constrained Takagi-Sugeno fuzzy systems subject to persistent disturbances. 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Aug 2015, Istanbul, Turkey. pp.1-7, ⟨10.1109/FUZZ-IEEE.2015.7337874⟩. ⟨hal-03417322⟩

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