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为了实现一类新型混沌系统的同步控制,提出一种基于T-S模型的模糊控制方法。利用T-S模糊模型对Nadolschi混沌系统进行精确描述;采用并行分布补偿技术设计状态反馈控制器;进而将Nadolschi系统的同步控制问题转化为误差模糊系统零平衡点的镇定问题。然后,利用精确线性化的方法将误差模糊系统转换成定常系统,最后,根据线性系统理论,得出使Nadolschi混沌系统达到渐近同步的充分条件。仿真结果验证了所提方法的有效性,所设计的模糊控制器具用结构简单,规则少,控制响应速度快等优点。
In order to realize the synchronization control of a new type of chaotic system, a fuzzy control method based on T-S model is proposed. The T-S fuzzy model is used to describe the Nadolschi chaos system accurately. The parallel distributed compensation technique is used to design the state feedback controller. Then the synchronization control problem of Nadolschi system is transformed into the zero-point stabilization problem of error fuzzy system. Then, the error fuzzy system is converted into a stationary system by the exact linearization method. Finally, the sufficient conditions for the asymptotic synchronization of the Nadolschi chaotic system are obtained according to the linear system theory. The simulation results verify the effectiveness of the proposed method. The designed fuzzy controller has the advantages of simple structure, few rules and fast control response.