基于线性反馈控制的不确定混沌系统的参数辨识

Parameter identification based on linear feedback control for uncertain chaotic system

基于线性反馈控制方法和Lyapunov稳定性理论,研究了参数不确定系统的混沌同步和参数辨识,设计了普遍适用的参数自适应控制律,理论证明设计的控制器可使得两个结构相同但参数不同的混沌系统渐近地达到同步,并且可以辨识出响应系统的未知参数.Lorenz系统和蔡氏电路的数值仿真进一步表明了该方法的有效性.

An adaptive control method is proposed for the synchronization of chaos systems with uncertain parameters. Based on the Lyapunov stability theory, an adaptive control law of parameters is derived to make the states of the drive system and the response system asymptotically synchronized, by which the uncertain parameters of response system are identified. To demonstrate the effectiveness of the proposed scheme, numerical simulations results are given for the Lorenz system and Chua＇s circuit.