【摘要】 针对多涡卷jerk电路混沌系统,讨论了系统的基本动力行为;运用非线性系统理论和Routh-Hurwitz定理分别对系统平衡点的稳定性作了分析,得到了相关的定理,作出了系统的分叉图。同时对系统的追踪控制问题,采用滑模控制方法,有效地实现了多涡卷混沌系统对给定参考信号的追踪控制。最后通过数值示例进行仿真,对文中论述进行了论证。更多还原

【Abstract】 This paper analyzed the basic dynamical behaviors of a multi-scroll jerk circuit chaotic system.And discussed the stability of the equilibrium point of the system using the nonlinear system theory and Routh-Hurwitz theorem,then attained the corresponding theorems and the bifurcation diagram of the system.At the same time,studied the synchronization of the system,also presented a control scheme of chaotic system by sliding mode for a problem of tracking control which realized that the multi-scroll chaotic system can track any known smooth signal.Finally,numerical simulations are provided to show the effectiveness and feasibility of the discussion.更多还原