p-Accelerated normal S-iterative learning control algorithm for linear discrete singular time-delay systems

This article addresses the issue of iterative learning control for a specific category of discrete linear singular time-delay systems. A new iterative learning control algorithm based on the p-accelerated normal S-iteration method is proposed, and convergence analysis of the corresponding learning c...

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Bibliographic Details
Published in:International journal of general systems 2024-01, Vol.53 (1), p.16-40
Main Authors: Sahu, D. R., Singh, Nitish Kumar
Format: Article
Language:English
Subjects:
Algorithms
Control systems
Control theory
Convergence
Iterative learning control
Iterative methods
Machine learning
p-accelerated normal S-iteration method
singular system
state-delay
super-vector representation
Time delay systems
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Summary:This article addresses the issue of iterative learning control for a specific category of discrete linear singular time-delay systems. A new iterative learning control algorithm based on the p-accelerated normal S-iteration method is proposed, and convergence analysis of the corresponding learning control algorithm is studied. With certain assumptions, the proposed algorithm guarantees that the output of the system converges to the desired output trajectory within a finite time interval. The theoretical analysis is supported by numerical examples. The results indicate that the p-accelerated normal S-iterative learning control algorithm outperforms both the first-order PD-type iterative learning control and second-order PD-type iterative learning control algorithms for discrete linear singular systems theoretically and numerically.
ISSN:0308-1079
1563-5104
DOI:10.1080/03081079.2023.2241982