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Reliable {H}_{\infty } Fuzzy Control for a Class of Discrete-Time Nonlinear Systems Using Multiple Fuzzy Lyapunov Functions

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2 Author(s)
Huai-Ning Wu ; Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing ; Hong-Yue Zhang

This brief deals with the problem of reliable Hinfin fuzzy control for a class of discrete-time nonlinear systems with actuator faults by using multiple fuzzy Lyapunov functions. The Takagi and Sugeno fuzzy model is employed to represent a nonlinear system. A sufficient condition for the existence of reliable Hinfin fuzzy controllers is given in terms of linear matrix inequalities (LMIs), which can guarantee that the closed-loop fuzzy system is globally asymptotically stable and satisfies different levels of disturbance attenuation for different operating regimes. Furthermore, a suboptimal reliable fuzzy controller is proposed for minimizing the normal level while maintaining acceptable levels in the faulty cases. Finally, it is also demonstrated, through numerical simulations on a discrete-time chaotic system, that the proposed method is effective

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:54 ,  Issue: 4 )