一类新型基于有界性的控制混沌系统的非线性反馈控制方法

A Novel Boundedness-based Nonlinear Feedback Controller for Chaotic Abstractor

基于Lyapunov理论和Riccati方程,设计了一类新的非线性反馈控制器来控制混沌系统.经验证,不仅能用于参数不变的混沌系统的控制,还可用于参数受扰动时的混沌系统的控制.说明该控制方法能够保证误差系统快速实现指数稳定,受控系统到达目标轨道,使原混沌系统的不稳定不动点稳定,具有一定的鲁棒性.

A novel boundedness-based nonlinear feedback controller is derived based on Lyapunov function and Riecati equation. It is used in chaotic systems both without perturbation and with perturbed parameters. Numerical results show that this method guarantees an exponential stability of error system, help the controlled chaotic systems to reach the target orbit, maintain the original unstable fixed points within the chaotic attractor, and it is proved to be robust enough.