混沌系统基于T-S模糊模型的控制方法

将模糊控制技术应用于混沌控制中，可以克服反馈线性化等传统方法对参数完全精确已知的限制；用T-S模糊系统来逼近非线性系统，它的IF-THEN规则后件由线性状态空间子系统构成，进而可以应用模糊系统的控制理论求得模糊控制器，用此非线性控制器来控制非线性系统，以求良好的控制效果；模糊规则后件部分以局部线性方程形式给出的T-S模糊模型可以通过调整相关参数很好地逼近混沌系统，基于该模型采用平行分散补偿技术设计出具有相同规则数目的模糊控制器，控制器所有参数可以通过求解一组线性矩阵不等式一次性得到。仿真结果验证了该方法的有效性。

Approach of Chaotic Control Based on T-S Fuzzy Model

The limitation in tradition ways such as the complete and accurate knowledge of parameters in feedback linearation can be overcome by using fuzzy control technique in chaotic control. The T-S fuzzy system can approximate nonlinear system very well, and its IF-THEN rule is constructed by linear state space subsystems, and the fuzzy controller can be abtained by using fuzzy system control theory, and nonlinear system can be controlled by this nonlinear controller. The so-called T-S fuzzy model, including rules given in local linear equations, can approximate chaotic system very well by means of adjusting fuzzy parameters. Based on this kind of model, a novel fuzzy controller design method was proposed via parallel distributed compensation technique. The all controller parameters were obtained simultaneously by solving a set of linear matrix inequalities. The illustrative examples demonstrate the effectiveness of the presented approach.