NDLI: Reliable <formula formulatype=inline><tex>${H}_{infty}$</tex></formula> Fuzzy Control for a Class of Discrete-Time Nonlinear Systems Using Multiple Fuzzy Lyapunov Functions

Content Provider	IEEE Xplore Digital Library
Author	Huai-Ning Wu Hong-Yue Zhang
Copyright Year	2004
Abstract	This brief deals with the problem of reliable H_infin 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 H_infin 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
Sponsorship	IEEE Circuits and Systems Society
Starting Page	357
Ending Page	361
Page Count	5
File Size	192930
File Format	PDF
ISSN	15497747
Volume Number	54
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy control Fuzzy systems Nonlinear systems Actuators Lyapunov method Sufficient conditions Control systems Linear matrix inequalities Attenuation Maintenance reliable control Actuator faults fuzzy control ${H}_{\infty}$ disturbance attenuation linear matrix inequality (LMI) nonlinear systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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