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  • Title: Robustness design of fuzzy control for nonlinear multiple time-delay large-scale systems via neural-network-based approach.
    Author: Hsiao FH, Xu SD, Lin CY, Tsai ZR.
    Journal: IEEE Trans Syst Man Cybern B Cybern; 2008 Feb; 38(1):244-51. PubMed ID: 18270095.
    Abstract:
    The stabilization problem is considered in this correspondence for a nonlinear multiple time-delay large-scale system. First, the neural-network (NN) model is employed to approximate each subsystem. Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of each NN model. According to the LDI state-space representation, a robustness design of fuzzy control is proposed to overcome the effect of modeling errors between subsystems and NN models. Next, in terms of Lyapunov's direct method, a delay-dependent stability criterion is derived to guarantee the asymptotic stability of nonlinear multiple time-delay large-scale systems. Finally, based on this criterion and the decentralized control scheme, a set of fuzzy controllers is synthesized to stabilize the nonlinear multiple time-delay large-scale system.
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