ILC for Non-Linear Hyperbolic Partial Difference Systems

Meryem Hamidaoui and Cheng Shao
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Meryem Hamidaoui: Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China
Cheng Shao: Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China

Mathematics, 2021, vol. 9, issue 23, 1-11

Abstract: This paper discusses the iterative learning control problem for a class of non-linear partial difference system hyperbolic types. The proposed algorithm is the PD-type iterative learning control algorithm with initial state learning. Initially, we introduced the hyperbolic system and the control law used. Subsequently, we presented some dilemmas. Then, sufficient conditions for monotone convergence of the tracking error are established under the convenient assumption. Furthermore, we give a detailed convergence analysis based on previously given lemmas and the discrete Gronwall’s inequality for the system. Finally, we illustrate the effectiveness of the method using a numerical example.

Keywords: PD-type iterative learning control; non-linear partial difference systems; hyperbolic partial difference systems; initial learning state; convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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