Chua混沌系统的一种模糊控制器设计——LMI法

Fuzzy controller design for Chua chaotic system——LMI method

研究了Chua混沌系统的稳定控制问题 .采用模糊动态模型逼近非线性混沌系统 ,将非线性混沌系统模糊化为局部线性模型 .用Lyapunov稳定性理论设计出 ,确保模糊动态模型全局渐近稳定的控制器 .再用线性矩阵不等式的凸优化方法求出模糊控制器的参数 .仿真验证了方案的有效性 .模糊控制器简单 ,规则少 .

The problem of stable controlling chaotic Chua circuit has been studied. Using T-S fuzzy model as an approximation for nonlinear chaotic system, the nonlinear chaotic system has been fuzzy into local linear model. The controller designed by using Lyapunov theory insures the stability of fuzzy dynamic system. The parameter of fuzzy controller is got by convex optimal method of LMI. The effect of the scheme has been tasted by simulation. The Fuzzy controller is simple, and need no much rules.