Abstract:

Based on the TakagiSugeno (TS) fuzzy model, an adaptive approach for the synchronization of new chaotic systems, with unknown parameters, is studied. A TS fuzzy dynamical model is employed to reconstruct the chaotic drive and response systems. The sufficient conditions of global asymptotic stability, by giving the definition of decay rate α, are deduced from two reconstructed chaotic systems, of which the structures are the same. Meanwhile, since the parameters of the drive system are assumed unknown, we design the response system that estimate the parameters of the drive system by an adaptive strategy. In addition, since the designed fuzzy controllers are composed of linear functions, with few rules and simple structures, it is easy to construct such controllers in actual applications. Satisfied numerical simulations show the effectiveness and validity of the adaptive fuzzy synchronization method proposed in this paper.

Key words: T-S model;fuzzy control;adaptive synchronization;Lyapunov stability theory