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DECENTRALIZED STABILIZATION OF H FUZZY CONTROL FOR NONLINEAR MULTIPLE TIME‐DELAY INTERCONNECTED SYSTEMS
Author(s) -
Hsiao FengHsiag,
Xu ShengDong,
Lin ChiaYen,
Chou YuJun,
Chen YuChing
Publication year - 2007
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2007.tb00313.x
Subject(s) - control theory (sociology) , nonlinear system , robustness (evolution) , fuzzy logic , fuzzy control system , bounded function , computer science , stability (learning theory) , lyapunov stability , stability criterion , mathematics , control (management) , discrete time and continuous time , artificial intelligence , mathematical analysis , biochemistry , chemistry , physics , statistics , quantum mechanics , machine learning , gene
A robustness design of fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time‐delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time‐delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time‐delay interconnected systems and the H control performance is achieved in the mean time.