基于反馈精确线性化的混沌系统同步控制方法

应用精确线性化方法，通过严格的状态变换和反馈方法，将非线性混沌系统线性化. 考虑到系统的部分状态变量无法测量，设计了混沌系统的状态观测器，求解出了状态观测器的反馈控制律. 将这种控制方法应用于Lorenz混沌系统的同步控制，仿真结果表明，系统三个状态变量的同步误差均能在很短的时间内收敛到零.因此，该同步控制方法在保证闭环系统稳定的前提下，具有较好的同步控制快速性和较高的控制精度. 关键词：反馈线性化混沌同步状态观测器

Synchronization control based on feedback precise linearization

Precise linearity method which is applied to linearize nonlinear chaotic system through strict state transform and feedback strategy is discussed. Considering that some of the state variables can not be measured, the nonlinear feedback method including state observer is researched, and the corresponding control law is deduced. This kind of control method is adopted to chaos synchronization control of the Lorenz system, the simulation results show that the synchronization error of the three state variables can convergence to zero in a short time, which indicates that the control procedure proposed in this paper can guarantee high convergence speed and precision of synchronization under the prerequisite of close-loop stability.