超加速系统的混沌控制

Chaos Control in Hyperjerk System

以一个四阶hyperjerk系统为例,研究变量反馈消除混沌。利用李亚普诺夫方法分析变量反馈控制混沌的机理,得到使混沌系统稳定的状态反馈控制律。仿真实验表明,适当选择反馈强度可将系统的混沌态引导到不动点,验证了理论的正确性。变量反馈法可以很好地消除动力学系统的混沌,使系统达到一个稳定的状态。

Variable feedback method is proposed to deal with chaos elimination in a forth-order hyperjerk system. Lyapunov＇ s method is used to design the state feedback control law to make the chaotic system stable. Simulation result shows that the system can be controlled to a stable state by choosing the feedback intensity properly, so the effectiveness and feasibility of the proposed method are proved. The variable feedback method could effectively eliminate the chaos of the kinetic system and make the system to a stable state.