Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network
This paper presents an online adaptive approximate solution for the optimal tracking control problem of model-free nonlinear systems. Firstly, a dynamic neural network identifier with properly designed weights updating laws is developed to identify the unknown dynamics. Then an adaptive optimal trac...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-07-01
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| Series: | Automatika |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/00051144.2023.2170058 |
| _version_ | 1797820313527910400 |
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| author | Yuming Yin Zhiiun Fu Yan Lu |
| author_facet | Yuming Yin Zhiiun Fu Yan Lu |
| author_sort | Yuming Yin |
| collection | DOAJ |
| description | This paper presents an online adaptive approximate solution for the optimal tracking control problem of model-free nonlinear systems. Firstly, a dynamic neural network identifier with properly designed weights updating laws is developed to identify the unknown dynamics. Then an adaptive optimal tracking control policy consisting of two terms is proposed, i.e. a steady-state control term is established to ensure the desired tracking performance at the steady state, and an optimal control term is proposed to ensure the optimal tracking error dynamics optimally. The composite Lyapunov method is used to analyse the stability of the closed-loop system. Two simulation examples are presented to demonstrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-13T09:36:35Z |
| format | Article |
| id | doaj.art-97f83a0abbc343b68a0b9869fe94083f |
| institution | Directory Open Access Journal |
| issn | 0005-1144 1848-3380 |
| language | English |
| last_indexed | 2024-03-13T09:36:35Z |
| publishDate | 2023-07-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Automatika |
| spelling | doaj.art-97f83a0abbc343b68a0b9869fe94083f2023-05-25T11:41:20ZengTaylor & Francis GroupAutomatika0005-11441848-33802023-07-0164343144010.1080/00051144.2023.2170058Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural networkYuming Yin0Zhiiun Fu1Yan Lu2College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, People’s Republic of ChinaCollege of Mechanical and Electrical Engineering, Zhengzhou University of Light Industry, Zhengzhou, People’s Republic of ChinaCollege of Mechanical and Electrical Engineering, Zhengzhou University of Light Industry, Zhengzhou, People’s Republic of ChinaThis paper presents an online adaptive approximate solution for the optimal tracking control problem of model-free nonlinear systems. Firstly, a dynamic neural network identifier with properly designed weights updating laws is developed to identify the unknown dynamics. Then an adaptive optimal tracking control policy consisting of two terms is proposed, i.e. a steady-state control term is established to ensure the desired tracking performance at the steady state, and an optimal control term is proposed to ensure the optimal tracking error dynamics optimally. The composite Lyapunov method is used to analyse the stability of the closed-loop system. Two simulation examples are presented to demonstrate the effectiveness of the proposed method.https://www.tandfonline.com/doi/10.1080/00051144.2023.2170058Dynamic neural networknonlinear systemsnonlinear identifieradaptive controloptimal control |
| spellingShingle | Yuming Yin Zhiiun Fu Yan Lu Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network Automatika Dynamic neural network nonlinear systems nonlinear identifier adaptive control optimal control |
| title | Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network |
| title_full | Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network |
| title_fullStr | Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network |
| title_full_unstemmed | Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network |
| title_short | Online adaptive optimal tracking control for model-free nonlinear systems via a dynamic neural network |
| title_sort | online adaptive optimal tracking control for model free nonlinear systems via a dynamic neural network |
| topic | Dynamic neural network nonlinear systems nonlinear identifier adaptive control optimal control |
| url | https://www.tandfonline.com/doi/10.1080/00051144.2023.2170058 |
| work_keys_str_mv | AT yumingyin onlineadaptiveoptimaltrackingcontrolformodelfreenonlinearsystemsviaadynamicneuralnetwork AT zhiiunfu onlineadaptiveoptimaltrackingcontrolformodelfreenonlinearsystemsviaadynamicneuralnetwork AT yanlu onlineadaptiveoptimaltrackingcontrolformodelfreenonlinearsystemsviaadynamicneuralnetwork |