基于时间延迟状态反馈的PMSM混沌反控制

Chaos anti-control of PMSM based on exact linearization via delay-time state variable feedback

根据永磁同步电机的数学模型,运用微分几何理论讨论了永磁同步电机可以进行精确线性化的条件,在全状态空间中实现了永磁同步电机的精确线性化。在此基础上,运用延迟状态反馈设计了混沌反馈控制器,对这种控制器的控制结果进行了仿真研究。并针对控制参数的不同对混沌反控制的影响进行了仿真研究,明确了控制参数的选择方向。仿真结果说明利用状态延迟反馈精确线性化设计混沌反控制器是完全可行的,结果是满足要求的。

The conditions of exact linearization of controlling permanent-magnet synchronous motor are discussed with differential geometry method based on mathematic model. We completed permanent-magnet synchronous motor linearization in the entire state variable space. Applying the analysis results, we designed the time delayed state feedback chaos controller and the control results are studied by simulation method. Different control parameters may conduct different results, so we simulate the influence of the controlled variable on the anti-control of chaos, cleared about the controlled variable choice. The simulation results show that the time delayed state variable feedback method which using differential geometry theory design chaos anti-controller to realize chaotification on permanent-magnet synchronous motor model is feasible and the control result is satisfing.