输入—状态线性化控制永磁同步电动机混沌系统

Input-state Linearization Control of Permanent Magnet Synchronous Motor Chaos System

采用输入-状态线性化方法控制永磁同步电动机系统中出现的混沌现象,利用输入-状态可线性化的能控条件和对合条件对施加控制的混沌系统进行判断,当满足线性化条件时,运用微分几何中的Lie导数和Lie括号运算将非线性系统模型转化为线性模型,然后对线性化后的系统设计控制器,使系统的三个状态变量均稳定的收敛于零,从而消除了混沌,仿真结果证明了该方法的有效性。

Input-state linearization method is used to control chaos phenomenon of PMSM system. Controllable and involutive conditions of Input-state linearization is used to judge the system. When the conditions are met, the nonlinear system model is transformed into a linear one by Lie derivative and Lie brac- ket operation in differential geometry. Then the controller of linear system is designed that made three states of the system steadily converged to zero, and then eliminated the chaos. The simulations show that the method is effective.