分数阶终端滑模控制器在DTC系统中的应用

针对SVPWM调制的永磁同步电机直接转矩控制系统磁链和转矩波动较大的问题,结合非奇异终端滑模和分数阶微积分理论的特点,设计了一种分数阶非奇异终端滑模控制器。结合直接转矩原理和分数阶微积分理论,对误差进行分数阶微分后与误差之和作为滑模面;根据非奇异终端滑模控制原理,在所设计分数阶滑模面的基础上确定了相应的控制律;利用李亚普诺夫定理证明了滑模面的稳定性和可达性。仿真结果表明,该策略能提高系统的动静态性能,可以进一步抑制磁链和转矩波动。

Application of Fractional Order Terminal Sliding Mode Controller in DTC System

A novel fractional order non-singular terminal sliding mode controller is proposed in this paper based on the combination of the non-singular terminal sliding mode and the fractional order calculus theory,which can reduce the problem of the flux linkage and torque ripple that appears when DTC-SVPWM technique is used to PMSM. Firstly, based on the theory of direct torque control principle and fractional order calculus,the sliding mode surface is selected and it is composed of the error and the error of the fractional order differential. Secondly,according to the non-singular terminal sliding mode control theory,the control rule is designed by the fractional sliding surface. Finally,the stability and reachability of the sliding surface is proved by the Lyapunov theory. The simulation results show that the proposed strategy can improve the dynamic and static performance of the system,and may further restrain the flux and torque ripple.