针对不确定性离散混沌系统,进行了T-S模糊建模和模糊观测器设计,实现了混沌系统的同步。运用Mamdani型模糊逻辑系统对驱动系统的不确定项进行建模,进而得到不确定性参数的自适应估计。根据状态观测器的设计思想,进行了模糊观测器的设计,在此基础上,结合Lyapunov稳定性定理进行稳定性分析,得到了控制器的表达式,同时保证了同步误差系统的渐近稳定。仿真结果验证了方法的有效性。
For uncertain discrete-time chaotic systems,a synchronization design scheme based on Takagi-Sugeno(T-S) fuzzy modeling and the design of the fuzzy observer is presented.Mamdani type fuzzy inference is employed to model the uncertain term of the drive system and estimate unknown parameters.Based on the fuzzy model,an adaptive fuzzy observer is developed to deal with the synchronization of nonidentical chaotic systems.The adaptive law is derived to estimate its unknown parameters and the stability is guaranteed by Lyapunov stability theory.The simulation examples are given to demonstrate the validity of the proposed approach.