Non-fragile dynamic output feedback control for uncertain Takagi–Sugeno fuzzy systems with time-varying delay

Sheng-Juan Huang and Guang-Hong Yang

International Journal of Systems Science, 2016, vol. 47, issue 12, 2954-2964

Abstract: This paper mainly focuses on the problem of non-fragile H∞ dynamic output feedback control for a class of uncertain Takagi–Sugeno fuzzy systems with time-varying state delay. Based on a new type of Lyapunov–Krasovskii functional without ignoring any subtle integral terms in the derivatives, a less conservative dynamic output feedback controller with additive gain variations is designed, which guarantees that the closed-loop fuzzy system is asymptotically stable and satisfies a prescribed H∞-performance level. Furthermore, the obtained parameter-dependent conditions are given in terms of solution to a set of linear matrix inequalities, which improve some existing relevant results. Finally, numerical examples are given to illustrate the effectiveness and merits of the proposed method.

Date: 2016
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DOI: 10.1080/00207721.2015.1053829

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