一种新的混沌系统的逆最优控制

Inverse optimal control for a new chaotic system

简要介绍了一种新的混沌系统及其基本动力学行为,根据Routh Hurwitz准则,着重讨论了系统的平衡点的稳定性.基于Lyapunov稳定性理论,应用逆最优控制方法为该混沌系统设计了一个简单的线性状态反馈控制器.理论证明和数值模拟均表明控制器是有效的,受控混沌系统的混沌轨道很快被控制到原先不稳定的平衡点.

A relatively simple chaotic system and its basic dynamic behaviors are introduced. By applying the Routh-Hurwitz criterion, the problem of the stability of equilibrium points is discussed and some results are obtained. Based on the theory of Lyapunov stability and by the inverse optimal controlling approach, a controller is designed for controlling a new type of chaotic system. The controller is a linear state feedback controller and is very simple. With it the system orbit can be controlled to its originally unstable zero equilibrium point. By numerical simulation the effectiveness of the controller is proved.