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Multi-phase iterative learning control for high-order systems with arbitrary initial shifts

Author

Listed:
  • Chen, Dongjie
  • Xu, Ying
  • Lu, Tiantian
  • Li, Guojun

Abstract

Aiming at the second-order tracking system with arbitrary initial shifts, this paper presents a multi-phase iterative learning control strategy. Firstly, utilizing the form of solution of the second-order non-homogeneous linear differential equation with constant coefficients and the initial shifts, we can select the appropriate control gain to ensure that the second-order systems are stable and reach the stable output after a fixed time. Secondly, on the premise that the second-order systems have reached the fixed output, two methods are proposed for rectifying the fixed shift, namely, shifts rectifying control and varied trajectory control. Theoretical analysis shows that the multi-stage iterative learning control strategy proposed in this paper can ensure that the second-order systems achieve complete tracking in the specified interval. Finally, the simulation examples affirm the validation of the designed algorithms.

Suggested Citation

  • Chen, Dongjie & Xu, Ying & Lu, Tiantian & Li, Guojun, 2024. "Multi-phase iterative learning control for high-order systems with arbitrary initial shifts," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 216(C), pages 231-245.
    • Handle: RePEc:eee:matcom:v:216:y:2024:i:c:p:231-245
    DOI: 10.1016/j.matcom.2023.09.019
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    References listed on IDEAS

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    1. Xiao-Dong Li & Tommy Chow & L.L. Cheng, 2013. "Adaptive iterative learning control of non-linear MIMO continuous systems with iteration-varying initial error and reference trajectory," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 786-794.
    2. Deyuan Meng & Yingmin Jia & Junping Du, 2015. "Robust ILC with iteration-varying initial state shifts: a 2D approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 1-17, January.
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    Cited by:

    1. Lina Si & Xinyang Guo & Lixun Huang & Qiuwen Zhang, 2024. "State Estimators for Plants Implementing ILC Strategies through Delay Links," Mathematics, MDPI, vol. 12(18), pages 1-18, September.

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