引用本文:陈子印,林喆,贾鹤鸣,王鹏.永磁同步电机有限时间预设性能控制[J].控制理论与应用,2021,38(4):479~488.[点击复制]
CHEN Zi-yin,LIN Zhe,JIA He-ming,WANG Peng.Finite-time control for permanent magnet synchronous motor with prescribed performance[J].Control Theory and Technology,2021,38(4):479~488.[点击复制]
永磁同步电机有限时间预设性能控制
Finite-time control for permanent magnet synchronous motor with prescribed performance
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DOI编号  10.7641/CTA.2020.00218
  2021,38(4):479-488
中文关键词  永磁同步电机  有限时间预设性能  有限时间控制  滤波反步法  扰动观测器
英文关键词  permanent magnet synchronous motor (PMSM)  finite-time prescribed performance  finite-time control  command filtered backstepping  disturbance observer
基金项目  国家重点研发计划项目(2016YFB0500702)资助.
作者单位E-mail
陈子印* 北京空间机电研究所 chenziyin_heu@163.com 
林喆 北京空间机电研究所  
贾鹤鸣 三明学院  
王鹏 南京理工大学  
中文摘要
      为实现扰动作用下对永磁同步电机角位置伺服系统的高瞬态和稳态跟踪性能控制, 本文提出一种具有预 设性能约束的有限时间控制方法. 首先, 设计扰动观测器实现对负载力矩扰动的估计与补偿. 其次, 引入有限时间 预设性能函数以保证角跟踪误差的动态性能, 并通过可逆变换将受不等式约束的角位置跟踪误差转换为等效的无 约束误差形式. 然后, 将有限时间指令滤波反步法应用于控制器设计中, 不仅可以避免“微分爆炸”的现象, 而且能 够保证跟踪误差的有限时间内收敛. 最后, 通过仿真实验验证了该算法的有效性和对扰动的鲁棒性.
英文摘要
      To achieve high transient and steady-state tracking performance for angular servo control of permanent magnet synchronous motor (PMSM) under disturbance, this paper proposes a finite-time control method with prescribed performance. Firstly, the disturbance observer is introduced to estimate and compensate the load torque. Secondly, a finitetime prescribed performance function is designed to guarantee the dynamical performance for angular tracking error, by utilizing an invertible transformation, the angular tracking error that subjects to inequality constraint can be transformed into an equivalent unconstrained one. Thirdly, the finite-time command filtered backstepping is applied for the controller design which not only can avoid the “differential explosion” phenomenon, but also can ensure the tracking errors converge in finite-time. Finally, the simulation results are presented to verify the effectiveness of the proposed method and the robustness against the disturbance.