Title :
Robustness Design of Fuzzy Control for Nonlinear Multiple Time-Delay Large-Scale Systems via Neural-Network-Based Approach
Author :
Hsiao, Feng-Hsiag ; Xu, Sheng-Dong ; Lin, Chia-Yen ; Tsai, Zhi-Ren
Author_Institution :
Nat. Univ. of Tainan, Tainan
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.
Keywords :
Lyapunov methods; decentralised control; delays; fuzzy control; large-scale systems; neural nets; nonlinear control systems; robust control; state-space methods; LDI state-space representation; Lyapunov´s direct method; decentralized control scheme; delay-dependent stability criterion; fuzzy control; large-scale system; linear differential inclusion; neural-network-based approach; nonlinear multiple time-delay system; Delay-dependent stability criterion; large-scale systems; modeling error; neural network (NN); Algorithms; Computer Simulation; Feedback; Fuzzy Logic; Models, Theoretical; Neural Networks (Computer); Nonlinear Dynamics; Reproducibility of Results; Sensitivity and Specificity; Time Factors;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2006.890304
