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Static output feedback design for a class of constrained Takagi–Sugeno fuzzy systems

Abstract : This paper addresses the static output feedback (SOF) control problem of Takagi–Sugeno fuzzy systems subject to both control input and state constraints. A new parameter-dependent sector condition is proposed to deal with the input saturation in SOF control context. Based on a judicious use of Finsler’s lemma in fuzzy Lyapunov control framework, new design conditions guaranteeing the existence of a stabilizing controller are recast as an LMI-based optimization with additional slack variables. These extra variables offer more flexibility to reduce the design conservatism. In particular, the proposed method requires neither special constraints on the state-space system matrices nor linear matrix equalities, which are hard to be satisfied. Several numerical examples are given to demonstrate the interests of the new control method.
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https://hal-uphf.archives-ouvertes.fr/hal-03428762
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Submitted on : Monday, November 15, 2021 - 11:52:28 AM
Last modification on : Tuesday, November 16, 2021 - 3:56:49 AM

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Tran Anh-Tu Nguyen, Kazuo Tanaka, Antoine Dequidt, Michel Dambrine. Static output feedback design for a class of constrained Takagi–Sugeno fuzzy systems. Journal of The Franklin Institute, Elsevier, 2017, 354 (7), pp.2856-2870. ⟨10.1016/j.jfranklin.2017.02.017⟩. ⟨hal-03428762⟩

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