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A PD-type Iterative Learning Control Algorithm for One-dimension Linear Wave Equation

Meryem Hamidaoui, Cheng Shao*, and Samia Haouassi
International Journal of Control, Automation, and Systems, vol. 18, no. 4, pp.1045-1052, 2020

Abstract : Many applications can be described by the wave equation, as a kind of important second order partial differential equations. This paper suggests applying PD-type iterative learning control (ILC) scheme with initial state learning (ISL) to a class of linear one-dimensional wave equation. A sufficient condition is given to insure the convergence of the tracking errors. Finally, a numerical simulation is presented to illustrate the efficiency of the proposed method.

Keyword : Control of Wave equation, initial learning state, iterative learning control, PD-learning scheme.

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