Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control

Authors:
Feng-Hsiag Hsiao;Jung-Dong Hwang;Cheng-Wu Chen;Zhi-Ren Tsai
Affiliations:
Dept. of Electron. Eng., Nat. United Univ., Taiwan;-;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

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Abstract

To overcome the effect of modeling errors between nonlinear multiple time-delay subsystems and Takagi-Sugeno (T-S) fuzzy models with multiple time delays, a robustness design of fuzzy control is proposed in This work. In terms of Lyapunov's direct method, a delay-dependent stability criterion is hence derived to guarantee the asymptotic stability of nonlinear multiple time-delay large-scale systems. Based on this criterion and the decentralized control scheme, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay large-scale system. Finally, a numerical example with simulations is given to demonstrate the concepts discussed throughout This work.