一类三维混沌系统的T-S模糊控制

摘要

针对一类三维混沌系统,在用T-S模糊模型重构该系统的基础上,利用反馈控制思想和并行分布补偿(PDC)技术.基于Lyapunov理论为该系统设计了状态反馈控制器.利用线性矩阵不等式(LMI)可求出模糊控制器的参数,实现以衰减率α全局渐近稳定.对该系统的一个重要特例-ADVP系统的仿真结果验证了该控制方法的有效性.%The fuzzy control method of a class of chaotic system is introduced. Based on the T-S fuzzy model,the systems are reconstructed. Via feedback control concept and the parallel distributed compensation(PDC) technique, the fuzzy feedback controllers for the systems are designed based on Lyapunov theory. By solving linear matrix inequalities(LMIs),the obtained parameters of fuzzy controller can be used to realize the global asymptotic stability with decay rate α. The simulations results regarding the ADVP system show the effectiveness of the method proposed in this paper.