DocumentCode :
777107
Title :
Reliable {H}_{\\infty } Fuzzy Control for a Class of Discrete-Time Nonlinear Systems Using Multiple Fuzzy Lyapunov Functions
Author :
Wu, Huai-Ning ; Zhang, Hong-Yue
Author_Institution :
Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing
Volume :
54
Issue :
4
fYear :
2007
fDate :
4/1/2007 12:00:00 AM
Firstpage :
357
Lastpage :
361
Abstract :
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
Keywords :
Hinfin control; Lyapunov methods; discrete time systems; fuzzy control; linear matrix inequalities; nonlinear systems; Hinfin fuzzy control; Takagi-Sugeno fuzzy model; actuator faults; closed-loop fuzzy system; discrete-time chaotic system; discrete-time nonlinear systems; disturbance attenuation; global asymptotical stability; linear matrix inequalities; multiple fuzzy Lyapunov functions; suboptimal reliable fuzzy controller; Actuators; Attenuation; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Maintenance; Nonlinear systems; Sufficient conditions; ${H}_{infty}$ disturbance attenuation; Actuator faults; fuzzy control; linear matrix inequality (LMI); nonlinear systems; reliable control;
fLanguage :
English
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-7747
Type :
jour
DOI :
10.1109/TCSII.2006.889729
Filename :
4155073
Link To Document :
بازگشت