西安交通大学教师主页管理系统阮小娥 Convergence Analysis in the Sense of Lebesgue-p Norm for Open-Closed-Loop Iterative learning Control Home

Convergence Analysis in the Sense of Lebesgue-p Norm for Open-Closed-Loop Iterative learning Control

Release Time:2025-04-30

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Title of Paper:: Convergence Analysis in the Sense of Lebesgue-p Norm for Open-Closed-Loop Iterative learning Control

Summary:: In this paper, a PD-type open-closed-loop iterative learning control strategy is studied for linear time-invariant system. By means of Hausdorff-Young inequality of involution integral, the convergence of the proposed open-closed-loop iterative learning control updating law is analyzed for a given system in the sense of Lebesgue-p norm. It is shown from the theoretical analysis that the sufficient condition for convergence in sense of Lebesgue-p norm is dominated by not only the derivative learning gains but also the proportional learning gains. A comparable conclusion is theoretically discussed and the advantage of the updating law is numerically simulated.