基于李普希茨常数估计的混沌鲁里叶系统同步

Chaos synchronization between Lurie systems based on estimation of Lipschitz constant

针对混沌鲁里叶系统同步控制设计中,估计系统不变集和非线性环节李普希茨常数存在的困难,提出在李普希茨常数未知时对其进行自适应估计的思路。在此基础上结合求解一个相应的连续代数里卡提方程,通过李亚普诺夫函数分析方法得到两个混沌鲁里叶系统同步的自适应控制器。仿真实例表明设计的自适应控制器简洁、快速且无超调,具有良好的控制效果。

For the difficulty of estimating the invariant set and Lipschitz constant of nonlinear link during the design of the synchronization controller for the chaos Lurie control systems,an idea of getting Lipschitz constant adaptively estimated is presented.Based on it and the solution of a given continuous Riccati algebraic matrix equation,the synchronous adaptive controller of two chaotic Lurie systems is derived via Lyapunov function method.Then the simulations show that the convergence is rapid without overshoot,which indicates the excellent adaptive control effect.