Fu Hong, Hu Chuxiong, Yu Dongdong, Zhu Yu, Zhang Ming
State Key Lab of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China; Beijing Key Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing, 100084, China.
State Key Lab of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China; Beijing Key Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing, 100084, China.
ISA Trans. 2023 Aug;139:463-474. doi: 10.1016/j.isatra.2023.03.031. Epub 2023 Mar 24.
Cascaded iterative learning control (CILC) is explored for a magnetically levitated (maglev) planar motor to achieve excellent tracking motion performance in this paper. The CILC control method is based on traditional iterative learning control (ILC) with deeper iterations. CILC solves the difficulty of ILC in constructing perfect learning filter and low-pass filter to obtain excellent accuracy. Specifically, in CILC, the traditional ILC strategy is implemented several times by the operation of feedforward signal registering and clearing in a cascaded structure, which makes the motion error reach an accuracy level superior to traditional ILC even though the filters are imperfect. The fundamental principle, convergence and stability of CILC strategy are explicitly presented and analyzed. Through the structure of CILC, the repetitive component of the convergence error can be completely eliminated in theory, while the non-repetitive component is accumulated but the sum is bounded. Simulation investigation and comparative experimental investigation on maglev planar motor are both conducted. The results consistently show that the CILC strategy is not only superior to PID and model-based feedforward control, but also obviously outperforms traditional ILC. The CILC investigations on maglev planar motor also provide a clue that CILC has appreciable application prospect for precision/ultra-precision systems requiring extreme motion accuracy.
本文探讨了级联迭代学习控制(CILC)在磁悬浮平面电机中的应用,以实现优异的跟踪运动性能。CILC控制方法基于传统的迭代学习控制(ILC),并进行了更深层次的迭代。CILC解决了ILC在构建完美学习滤波器和低通滤波器以获得优异精度方面的困难。具体而言,在CILC中,传统的ILC策略通过级联结构中的前馈信号记录和清除操作多次实施,这使得即使滤波器不完善,运动误差也能达到优于传统ILC的精度水平。明确阐述并分析了CILC策略的基本原理、收敛性和稳定性。通过CILC结构,理论上可以完全消除收敛误差的重复分量,而非重复分量会累积但总和是有界的。对磁悬浮平面电机进行了仿真研究和对比实验研究。结果一致表明,CILC策略不仅优于PID和基于模型的前馈控制,而且明显优于传统ILC。对磁悬浮平面电机的CILC研究还提供了一个线索,即CILC对于要求极高运动精度的精密/超精密系统具有可观的应用前景。