基于单状态变量的永磁同步电机混沌跟踪控制

Chaos Tracking Control of Permanent Magnet Synchronous Motor Based on Single State Variable

永磁同步电机(PMSM)作为一种状态变量多、耦合性强的非线性系统,在实际运行过程中容易出现分岔、混沌等动力学行为。由于这些非线性行为的存在,使得PMSM系统在某些工作条件下会产生混沌振荡状态,从而影响电机传动系统的稳定运行。为此,提出一种基于单状态变量的反馈跟踪控制方法,有效抑制了PMSM系统的混沌行为,使系统能够跟踪到预先设置的期望参考值,不仅控制速度快,且跟踪后的PMSM系统与预设目标系统之间的误差值为零。此外,所提出的控制方法没有系统内部的一些约束条件,只需通过选取合适的控制增益E,就可以使系统跟踪到任意预设值,大大提高了控制器的适用性。通过大量数值仿真实验,证明了该方法的有效性。

As a nonlinear system with many state variables and strong coupling,the permanent magnet synchronous motor(PMSM)is prone to bifurcation,chaos and other dynamical behaviors during actual operation.The existence of these nonlinear behaviors makes the PMSM system generate chaotic oscillation states under certain operating conditions,which affects the stable operation of the motor drive system.To solve this problem,a single-state variable-based feedback tracking control method is proposed,which effectively suppresses the chaotic behavior of the PMSM system and enables the system to track to a pre-set desired reference value,which is not only fast to control,but also the error value between the tracked PMSM system and the pre-set target system can be zero.In addition,the proposed control method does not have some constraints inside the system,and the system can be tracked to any preset value simply by selecting a suitable control gain E,which greatly improves the applicability of the controller.The effectiveness of the method is proved by a large number of numerical simulation experiments.