CAJ | 학술논문

基于永磁同步电动机精确的数学模型,针对永磁同步电动机绕组相电流和转速强耦合特性,依据中继切换控制机制和有限时间收敛的终端滑动模态控制机制,考虑了永磁同步电动机的有限时间跟踪问题。给出了其终端滑模控制器的设计方案。在所设计的控制作用下,闭环系统将在有限时间内达到平衡状态。并且保证了闭环系统所有信号的有界性和平衡点的全局稳定性,以及系统在有限时间内精确地跟踪给定的参考信号。最后对一具体的永磁同步电动机模型进行了数值仿真,仿真结果表明在所设计的终端滑模控制器作用下,系统的跟踪误差在有限时间内达到零,验证了所提算法的正确有效性。
기우영자동보전동궤정학적수학모형,침대영자동보전동궤요조상전류화전속강우합특성,의거중계절환공제궤제화유한시간수렴적종단활동모태공제궤제,고필료영자동보전동궤적유한시간근종문제。급출료기종단활모공제기적설계방안。재소설계적공제작용하,폐배계통장재유한시간내체도평형상태。병차보증료폐배계통소유신호적유계성화평형점적전국은정성,이급계통재유한시간내정학지근종급정적삼고신호。최후대일구체적영자동보전동궤모형진행료수치방진,방진결과표명재소설계적종단활모공제기작용하,계통적근종오차재유한시간내체도령,험증료소제산법적정학유효성。
The precise position control of a permanent magnet synchronous motor is a more complicated problem due to the multi-input multi-output nature of the motor and the significant nonlinear coupling among its phase winding currents and the rotor velocity.Based on the exact model of the PMSM,finite time tracking controller design is considered using the relay switching control mechanism and the terminal sliding mode control scheme.Under the designed controller,the system state of the closed-loop system will reach the equilibrium in a finite time.Moreover,the boundedness of all the signals of the closed-loop system and the global stability of equilibrium point are guaranteed and the system states accurately track the states of the reference signal in a finite time.Finally,a numerical simulation was given for a concrete PMSM model.The simulation results show that the system tracking error can become zero in a finite time under the designed terminal sliding mode controller,and numerical simulations validate the efficiency of the control scheme.