Jing Chen
Multi-direction gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms
Chen, Jing; Ma, Junxia; Gan, Min; Zhu, Quanmin
Abstract
In this study, a multi-direction-based gradient iterative (GI) algorithm for Hammerstein systems with irregular sampling data is proposed. The algorithm updates the parameter estimates using several orthogonal directions at each iteration. The convergence rate is significantly improved with an increasing number of directions. The convergence property and two simulation examples are provided to demonstrate the effectiveness of the proposed algorithm. In addition, the multi-direction-based GI algorithm establishes a relationship between the traditional GI and least squares (LS) algorithms. Thus, our algorithm that combines the LS and GI algorithms constructs an identification framework for a significantly wider class of systems.
Citation
Chen, J., Ma, J., Gan, M., & Zhu, Q. (2022). Multi-direction gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms. IEEE Transactions on Automatic Control, 67(12), 6770-6777. https://doi.org/10.1109/TAC.2021.3132262
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 24, 2022 |
Online Publication Date | Dec 2, 2021 |
Publication Date | 2022-12 |
Deposit Date | Dec 22, 2022 |
Publicly Available Date | Dec 22, 2022 |
Journal | IEEE Transactions on Automatic Control |
Print ISSN | 0018-9286 |
Electronic ISSN | 1558-2523 |
Publisher | Institute of Electrical and Electronics Engineers |
Peer Reviewed | Peer Reviewed |
Volume | 67 |
Issue | 12 |
Pages | 6770-6777 |
DOI | https://doi.org/10.1109/TAC.2021.3132262 |
Keywords | Electrical and Electronic Engineering, Computer Science Applications, Control and Systems Engineering, Convergence, Eigenvalues and eigenfunctions, Computational modeling, Mathematical models, Load modeling, Technological innovation, Iterative algorithms, |
Public URL | https://uwe-repository.worktribe.com/output/10256644 |
Publisher URL | https://ieeexplore.ieee.org/document/9633163 |
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Copyright Statement
This is the author’s accepted manuscript of the article ‘Chen, J., Ma, J., Gan, M., & Zhu, Q. (2022). Multidirection gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms. IEEE Transactions on Automatic Control, 67(12), 6770-6777’.
DOI: 10.1109/TAC.2021.3132262
The final published version is available here: https://ieeexplore.ieee.org/document/9633163
© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
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