研究了不确定Chen系统的自适应同步和参数辨识,设计了自适应控制器和参数更新规则,理论证明了该控制器可使得两个Chen系统——驱动系统和未知参数的响应系统渐进地达到同步,并且可以辨识出响应系统的未知参数.数值模拟结果证明了该控制器的有效性.
This paper addresses the adaptive synchronization and parameter identification problem of two Chen systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive controller and the parameter update rule are designed. It is proved that the controller and update rule can make the states of the drive system and the response system with unknown parameters asymptotically synchronized, and identify the system parameters. Numerical simulations show the effectiveness of the adaptive controller.