基于死区迟滞函数的永磁同步直线电机滑模控制

Sliding Mode Control Based on Dead-zone Hysteresis Function for PMLSM

针对受摩擦力、波纹推力、负载力等各种外部扰动力严重影响的永磁同步直线电机,研究了基于趋近律的滑模输出反馈跟踪控制问题。提出了离散变结构控制的一种新趋近律,即用死区迟滞函数代替基于死区函数的趋近律中的死区函数;并从理论上分析证明了所提方法不仅保证了整个跟踪误差系统的稳定性,增强了对扰动的鲁棒性,而且降低了系统的抖振程度。仿真结果验证了该方法的有效性。与旧控制律相比,新控制律下的系统跟踪稳态误差降低了40%,对象输入u(k)、相轨迹和s切换时的抖振幅度也分别下降了87%、60%和66%。

The sliding mode output feedback tracking control problem based on reaching law for permanent magnet linear synchronous motor seriously influenced by gliding friction,dent force,load force and other external disturbances was studied.A new sliding mode reaching law was proposed,in which a dead-zone hysteresis function was substituted for the dead-zone function of the traditional reaching law.By theoretical analysis,it is shown that the proposed method not only ensures the stability of the tracking error systems,but also enhances the robustness to disturbances,and restrains the chattering level of the system.Finally,simulation results demonstrate the efficiency of the proposed method.Compared to the old control law,the tracking error under the new control law is reduced by 40%,and the chattering amplitude of object input u（k）,phase trajectory and s is reduced by 87%,60% and 66%,respectively.