Enhancing Iterative Learning Control With Fractional Power Update Law

doi:10.1109/JAS.2023.123525

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	Enhancing Iterative Learning Control With Fractional Power Update Law
	Zihan Li; Dong Shen; Xinghuo Yu
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2023
卷号	10 期号:5 页码:1137-1149
摘要	The P-type update law has been the mainstream technique used in iterative learning control (ILC) systems, which resembles linear feedback control with asymptotical convergence. In recent years, finite-time control strategies such as terminal sliding mode control have been shown to be effective in ramping up convergence speed by introducing fractional power with feedback. In this paper, we show that such mechanism can equally ramp up the learning speed in ILC systems. We first propose a fractional power update rule for ILC of single-input-single-output linear systems. A nonlinear error dynamics is constructed along the iteration axis to illustrate the evolutionary converging process. Using the nonlinear mapping approach, fast convergence towards the limit cycles of tracking errors inherently existing in ILC systems is proven. The limit cycles are shown to be tunable to determine the steady states. Numerical simulations are provided to verify the theoretical results.
关键词	Asymptotic convergence convergence rate finite-iteration tracking fractional power learning rule limit cycles
DOI	10.1109/JAS.2023.123525
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/51551
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Zihan Li,Dong Shen,Xinghuo Yu. Enhancing Iterative Learning Control With Fractional Power Update Law[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(5):1137-1149.
APA	Zihan Li,Dong Shen,&Xinghuo Yu.(2023).Enhancing Iterative Learning Control With Fractional Power Update Law.IEEE/CAA Journal of Automatica Sinica,10(5),1137-1149.
MLA	Zihan Li,et al."Enhancing Iterative Learning Control With Fractional Power Update Law".IEEE/CAA Journal of Automatica Sinica 10.5(2023):1137-1149.

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