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

Dongjie Chen, Ying Xu, Tiantian Lu and Guojun Li

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 216, issue C, 231-245

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.

Keywords: Iterative learning control; Initial rectifying; Second-order differential equation; Convergence (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:216:y:2024:i:c:p:231-245

DOI: 10.1016/j.matcom.2023.09.019

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