Iterative learning control for differential inclusions of parabolic type with noninstantaneous impulses

Shengda Liu, JinRong Wang, Dong Shen and O’Regan, Donal

Applied Mathematics and Computation, 2019, vol. 350, issue C, 48-59

Abstract: In this paper, we present a numerical solution for a finite time complete tracking problem based on the iterative learning control technique for dynamical systems governed by partial differential inclusions of parabolic type with noninstantaneous impulses. By imposing a standard Lipschitz condition on a set-valued mapping and applying conventional P-type updating laws with an initial iterative learning mechanism, we successfully establish an iterative learning process for the tracking problem and conduct a novel convergence analysis with the help of Steiner-type selectors. Sufficient conditions are presented for ensuring asymptotical convergence of the tracking error to zero. Numerical examples are provided to verify the effectiveness of the proposed method with a suitable selection of set-valued mappings.

Keywords: Differential inclusions of parabolic type; Noninstantaneous impulses; Iterative learning control; Convergence (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:350:y:2019:i:c:p:48-59

DOI: 10.1016/j.amc.2018.12.058

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