基于微分几何理论的参数失配系统时空同步研究

摘要

本文采用状态反馈精确线性化方法，实现了参数失配系统的时空同步控制。引入微分几何理论，首先采用李导数判定了参数失配系统的仿射模型是否满足状态精确线性化的充要条件，通过非线性坐标变换得到了其线性解耦系统，并结合线性最优控制理论确定了同步控制律，数值仿真证实了该控制方法的有效性，从非线性控制角度探索了混沌系统时空同步的新方法。%A new nonlinear synchronization control strategy for a parameter mismatch system based on exact linearization via feedback is presented. First, a nonlinear affine model of parameter mismatch system is established, and the precondition of exact linearization is verified based on the differential geometry theory. Through the nonlinear coordinate transformation, the linear decoupling system is obtained, so the state feedback control law can be determined by the linear optimal control theory. It is found by simulation results that the proposed synchronization method based on exact linearization via feedback can ensure the successful control of the parameter mismatch system.