基于参数辨识的混沌同步变结构控制

Switching Manifold Approach to Chaos Synchronization Based on Parameter Identification

在变结构控制混沌系统同步的基础上,提出了一种基于参数辨识的自适应混沌同步控制策略。根据李亚普若夫稳定性理论,通过两个系统的变量误差来辩识未知参数。在此基础上,针对变结构控制的3个目标,选择合适的滑动面并设计控制量,使参数不确定的两个混沌系统同步。通过对Lorenz系统的理论研究和数值仿真,所得结果证明了该控制策略可以实现参数不确定的、不同初始条件的混沌系统的同步控制。

Based on the switching manifold approach to chaos synchronization, this paper provided a controlling strategy of self-adaptive chaotic synchronization based on system identification. System's unknown parameters were estimated in terms of the variable errors between two systems based on lyapunov's stability theory. A suitable switching manifold was founded and an effective nonlinear controller was designed to drive the error states to move towards the stable manifold. The theoretical analyze and simulation on the Lorenz chaotic system shows that with the help of this controlling strategy we can synchronize chaotic systems with the unknown parameters and the different initial conditions.