Jing Chen
Improved gradient descent algorithms for time-delay rational state-space systems: Intelligent search method and momentum method
Chen, Jing; Zhu, Quanmin; Hu, Manfeng; Guo, Liuxiao; Narayan, Pritesh
Authors
Quan Zhu Quan.Zhu@uwe.ac.uk
Professor in Control Systems
Manfeng Hu
Liuxiao Guo
Pritesh Narayan Pritesh.Narayan@uwe.ac.uk
Deputy Head of Department
Abstract
This study proposes two improved gradient descent parameter estimation algorithms for rational state-space models with time-delay. These two algorithms, based on intelligent search method and momentum method, can simultaneously estimate the time-delay and parameters without the matrix eigenvalue calculation in each iteration. Compared with the traditional gradient descent algorithm, the improved algorithms come with two advantages: having quicker convergence rates and less computational efforts, particularly meaningful for those large scale systems. A simulated example is selected to illustrate the efficiency of the proposed algorithms.
Citation
Chen, J., Zhu, Q., Hu, M., Guo, L., & Narayan, P. (2020). Improved gradient descent algorithms for time-delay rational state-space systems: Intelligent search method and momentum method. Nonlinear Dynamics, 101, 361-373. https://doi.org/10.1007/s11071-020-05755-8
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 10, 2020 |
Online Publication Date | Jun 20, 2020 |
Publication Date | Jun 20, 2020 |
Deposit Date | Jun 10, 2020 |
Publicly Available Date | Jun 21, 2021 |
Journal | Nonlinear Dynamics |
Print ISSN | 0924-090X |
Electronic ISSN | 1573-269X |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 101 |
Pages | 361-373 |
DOI | https://doi.org/10.1007/s11071-020-05755-8 |
Public URL | https://uwe-repository.worktribe.com/output/6017182 |
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Copyright Statement
The final publication is available at Springer via https://doi.org/10.1007/s11071-020-05755-8
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