基于新型趋近律的永磁同步电机调速控制

为了改善基于PI控制的永磁同步电机（PMSM）调速系统转速超调大和抗扰动能力差的问题，研究一种自适应能力较强的新型指数趋近律。该趋近律在传统指数趋近律的基础上将等速项系数改进为时变量，能让系统更快地收敛到给定值，解决了传统指数趋近律系统收敛速度过慢的问题，并且采用可变边界层的饱和函数来替代传统开关函数从而削弱了滑模抖振现象。采用Lyapunov函数对新型指数趋近律的稳定性进行分析，并以此趋近律设计了速度环滑模控制器。采用MATLAB建模仿真，将其与PI控制结果比较，仿真结果表明基于新型指数趋近律的速度环滑模控制器能有效地提高PMSM调速系统的鲁棒性。

Speed Control of Permanent Magnet Synchronous Motor Based on Novel Reaching Law

In order to overcome the problem of speed overshoot and improve the anti-disturbance ability of PI control in the permanent magnet synchronous motor (PMSM) speed control system, a novel exponential reaching law with strong adaptive ability is proposed. This novel reaching law, based on the traditional exponential reaching law, improves the isokinetic term coefficient to a time-varying term, which can make the system converge to a given value faster, and the problem of the slow convergence speed of the traditional exponential reaching law is solved. In addition, the saturation function of the variable boundary layer is used to replace the traditional switching function to weaken the sliding mode chattering phenomenon. Lyapunov stability theory is used to analyze the stability of the novel exponential reaching law, and the speed loop sliding mode controller is designed based on the novel law. The designed controller is compared with PI control by MATLAB modeling and simulation. The simulation results show that the speed loop sliding mode controller based on the novel law can effectively improve the robustness of the PMSM speed control system.