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- Title
Kernel‐based regularization least squares algorithm for nonlinear time‐delayed systems using self‐organizing maps.
- Authors
Zhang, Zili; Zhang, Yanxin; Chen, Jing; Guo, Liuxiao
- Abstract
This article proposes a kernel‐based regularization least squares algorithm for nonlinear time‐delayed systems with unknown structure. Since the structure and the time‐delay of the model are unknown, a model pool constituted of several Volterra series is constructed with the aim of approximating the nonlinear model which has different time‐delays. Then, a self‐organizing maps method and a kernel‐based regularization method are interactively used to update the time‐delay and parameters. Compared with the traditional algorithms, the proposed algorithm has no limitation on the nonlinear model, and can describe the dynamics of the nonlinear model with a simple structure. Finally, simulation examples are given to show the effectiveness of the algorithm.
- Subjects
TIME delay systems; SELF-organizing systems; SELF-organizing maps; NONLINEAR systems; LEAST squares; VOLTERRA series; REGULARIZATION parameter
- Publication
International Journal of Robust & Nonlinear Control, 2023, Vol 33, Issue 8, p4602
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.6632