基于T-S模糊模型的Kawakami混沌系统的控制

摘要

研究了离散Kawakami混沌系统的模糊控制问题,利用单点模糊化、乘积推理和中心平均去模糊化模糊推理方法将Kawakami系统化为T-S模糊模型.在用T-S模糊模型重构了系统结构的基础上,利用反馈控制思想,借助于离散李亚普诺夫稳定性理论,给出了离散T-S模糊模型渐近稳定的充分条件,并设计出了相应的状态反馈控制器.利用线性矩阵不等式,进一步求出了模糊控制器的参数.仿真结果验证了该控制方法的有效性.%The fuzzy control method of Kawakami chaotic system is analyzed in the paper, and the system can be changed into the T-S fuzzy model by using singleton fuzzy, product inference and center average defuzzification method. Based on the T-S fuzzy model, the Kawakami system is reconstructed, and the sufficient conditions which guarantee T-S fuzzy systema are asymptotically stable are proposed using feedback control concept and Lyapunov stability theory, and a state feedback controller is designed for the chaotic systems. By using LMI constrains, the parameters of fuzzy controller can be obtained. The simulation results show the effectiveness of the method proposed in this paper.