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针对给定的确定性离散时间动力学系统,提出一种可以精确配置受控系统所有Lyapunov指数的混沌控制与反控制新方法.本文不限制给定系统的具体形式,仅利用取模运算和预设的一组Lyapunov指数,设计出一种新的状态反馈控制器.在控制器的作用下,受控系统的Lyapunov指数与预设的Lyapunov指数一致.控制器的形式简单,可以用于解决混沌控制和混沌反控制两种问题.给出了数学证明和两个实例,仿真结果显示了算法的有效性.
Aiming at a given deterministic discrete-time dynamic system, a new method of chaos control and anti-control that can accurately configure all Lyapunov exponents of a controlled system is proposed. This paper does not limit the specific form of a given system, A set of Lyapunov exponents is proposed to design a new state feedback controller. Under the control of the controller, the Lyapunov exponent of the controlled system is consistent with the preset Lyapunov exponent. The controller is simple in form and can be used to solve the chaos Control and chaos anti-control two problems are given.The mathematical proof and two examples are given, the simulation results show the effectiveness of the algorithm.