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• W2794309895 abstract "This paper studies the finite-time H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> control problem of T-S fuzzy systems subject to external disturbances. A novel fuzzy control approach is developed on the basis of the control Lyapunov function technique and the finite-time Lyapunov theorem so that the closed-loop fuzzy system is finite-time stable with guaranteed H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> performance. It is shown that the proposed control approach does not require the existence of a Lyapunov function before design of the fuzzy controller in comparison with many existing control approaches to finite-time control of nonlinear systems via the technique of control Lyapunov functions, and thus, the finite-time controller and the corresponding Lyapunov function can be designed simultaneously. The procedures on how to obtain the fuzzy controller are provided in terms of linear matrix inequalities. Moreover, an upper bound on the time taken for state trajectories to arrive at their desired targets is estimated. The effectiveness of the proposed finite-time H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> control approach is finally illustrated via numerical simulations." @default.
• W2794309895 created "2018-03-29" @default.
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• W2794309895 date "2020-05-01" @default.
• W2794309895 modified "2023-10-17" @default.
• W2794309895 title "Finite-Time $mathcal{H}_{infty}$ Controller Synthesis of T–S Fuzzy Systems" @default.
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• W2794309895 doi "https://doi.org/10.1109/tsmc.2018.2792218" @default.
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