Abstract: This paper investigates adaptive synchronization between two noise-perturbed chaotic systems with fully uncertain parameters. Based on Lyapunov stability theory and adaptive control theory, the general expression of suitable nonlinear controller is developed. At the same time, the noise-perturbed update laws of parameters are designed and the synchronization between different unknown chaotic systems is realized. Theoretical analysis and numerical simulation are presented, and the effectiveness and feasibility of the adaptive controllers are verified.

Key words: acoustics, noise-perturbed systems, Lyapunov exponents, adaptive control, parameter identification

摘要： 研究一类受噪声干扰混沌系统的自适应同步问题。基于Lyapunov稳定性理论和自适应控制理论，通过构造合适的非线性控制器和参数自适应控制律，实现受噪声干扰混沌系统的同步，且成功地辨识混沌系统的所有未知参数，理论分析和数值仿真进一步证明控制器和自适控制律的有效性。

关键词: 声学, 噪声扰动, Lyapunov稳定性理论, 自适应控制, 参数辨识