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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.
Based on the linear feedback control method and the Lyapunov stability theory, the chaos synchronization and parameter identification of parameterized uncertain systems are studied, and the universal applicable parameter adaptive control law is designed. The theory proves that the designed controller can make two structures with the same structure but different parameters The asymptotic synchronization of the chaotic system and the unknown parameters of the response system can be identified.The numerical simulation of Lorenz system and Chua ’s circuit further proves the effectiveness of this method.