D-type iterative learning control for a class of parabolic partial difference systems. (June 2018)

• Record Type: Journal Article
• Authors: Dai, Xisheng; Mei, Sange; Tian, Senping; Yu, Ling
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 40:Number 10(2018)
• Page Start: 3105
• Page End: 3114
• Publication Date: 2018-06
• Subjects: Iterative learning control -- convergence -- tracking -- partial difference systems -- initial state learning; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331217746630
• Languages: English
• ISSNs: 0142-3312

Abstract

In this paper, an iterative learning control problem is addressed for a class of parabolic partial difference systems. Several discrete D-type iterative learning control algorithms with initial state learning are proposed for the systems which have no direct channel between the input and output as well as the initial state value being unfixed in the learning process. Based on fundamental mathematical analysis tools and the discrete Gronwall inequality, sufficient conditions for tracking error convergence in the iterative domain for open-loop, closed-loop and open-closed-loop iterative learning control are established and proven respectively. Numerical simulations verify the effectiveness of the theoretical results.