基于模糊动态模型的Chua混沌系统控制

The Control of Chua Chaotic System Based on Fuzzy Dynamical Model

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。采用隶属函数最大法设计控制器 ,克服了并行分配补偿法求解公共正定矩阵P的困难 ,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新型控制器。仿真实验验证了方案的有效性。模糊控制器简单 ,规则少。此方案也可应用于其它类型的混沌系统中 。

The stable control problem of Chua chaotic circuit is studied. By approximating the nonlinear chaotic system with a T S fuzzy model, the nonlinear chaotic system is fuzzed into a local linear model. The controller is designed by using maximum membership which overcomes the difficulty in solving common matrix P. A new controller is designed by using Lyapunov theory to ensure the stability of fuzzy dynamic system is insured. The simulation test proves the validity of the scheme. The fuzzy controller is simple and involves fewer rules. The scheme is also suitable to other chaotic systems.\;