在多维动力系统的控制方法中,线性负反馈方法是一种比较简单而且易于实现的方法,但是,控制参数的选取却是比较困难的问题。如果将所有的控制参数设置成相同的值,利用Routh-Hurwitz的稳定性判据,便可以直接获得该参数所应满足的条件。利用这样的思路,针对一个混沌动力系统的控制问题进行了研究。为了说明该方法的有效性,利用MATLAB的Simulink进行了系统仿真,结果显示该方法可以有效地将系统的混沌行为控制到系统的不动点上。
Linear negative feedback control is one of simple and easy to be realized methods to control a multi-dimensional dynamic system. However, choosing the controlling parameters seems to be a hard task because that there is no any efficient rule to deal with it at present. If taking all the controlling parameters the same value, one can get the condition for the value to lead the system to the stable fixed points by Routh-Hurwitz criterion. This idea is proposed in this paper to control a system from chaotic motion to its fixed points. The simulation is carried out with Simulink of MATLAB to demonstrate the effectivemess of the method presented in this paper.