Constrained solutions of generalized coupled discrete-time periodic matrix equations with application in state observer design for linear periodic systems
ISSN: 0264-4401
Article publication date: 6 November 2024
Issue publication date: 27 November 2024
Abstract
Purpose
It is desired to provide a diversified iterative scheme for solving the constrained solutions of the generalized coupled discrete-time periodic (GCDTP) matrix equations from the perspective of optimization.
Design/methodology/approach
The paper considers generalized reflexive solutions of the GCDTP matrix equations by applying the Jacobi gradient-based iterative (JGI) algorithm, which is an extended variant of the gradient-based iterative (GI) algorithm.
Findings
Through numerical simulation, it is verified that the efficiency and accuracy of the JGI algorithm are better than some existing algorithms, such as the GI algorithm in Hajarian, the RGI algorithm in Sheng and the AGI algorithm in Xie and Ma.
Originality/value
It is the first instance in which the GCDTP matrix equations are solved applying the JGI algorithm.
Keywords
Acknowledgements
This work is supported by Shandong Natural Science Foundation (No.ZR2020MA052, No.ZR2020MA055 and ZR2017BA010) and the National Natural Science Foundation of China (No.11501246 and No.11801216).
Citation
Wang, W. and Song, C. (2024), "Constrained solutions of generalized coupled discrete-time periodic matrix equations with application in state observer design for linear periodic systems", Engineering Computations, Vol. 41 No. 10, pp. 2707-2726. https://doi.org/10.1108/EC-11-2023-0788
Publisher
:Emerald Publishing Limited
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