含时变不确定参数混沌系统的自适应跟踪控制

Adaptive tracking control for a class of chaotic systems with uncertain time-varying parameters

对一类含时变不确定参数的混沌系统,讨论了系统的自适应跟踪控制问题.基于李亚普诺夫函数方法,构造出了一类新的自适应控制器.该控制器的构造简单直接,无需对系统作更多的假设,构造控制器时,只需直接代入控制器的参数化公式.该控制器能控制混沌系统的状态全局渐近跟踪预先给定的任何有界轨线.仿真实例验证了所得控制器的有效性.

Adaptive tracking control of a class of chaotic systems with time-varying uncertainties was discussed. A novel controller is designed based on Lyapunov function which is easily and directly constructed by using a formula directly without more the assumptions. The state of the controlled chaotic systems was controlled and the desired bounded trajectories were traced by the controller globally asymptotically. Simulation results show the effectiveness of the proposed controller.