Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems
Abstract There is a growing demand for robust data‐driven control methods particularly for industrial process control. This paper presents a new model‐free adaptive sliding mode control approach for a class of discrete‐time, multiple input and multiple output non‐linear systems. The proposed methodo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12039 |
| _version_ | 1828374276221173760 |
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| author | Shouli Gao Dongya Zhao Xinggang Yan Sarah K. Spurgeon |
| author_facet | Shouli Gao Dongya Zhao Xinggang Yan Sarah K. Spurgeon |
| author_sort | Shouli Gao |
| collection | DOAJ |
| description | Abstract There is a growing demand for robust data‐driven control methods particularly for industrial process control. This paper presents a new model‐free adaptive sliding mode control approach for a class of discrete‐time, multiple input and multiple output non‐linear systems. The proposed methodology seeks to address issues with the computation of inverse matrices and problems with singularity in existing methods while at the same time seeking to enhance robustness. A Majorization–Minimization technique and the L1 norm are used within the proposed optimization and an online iterative approach is described for update of the control law. The closed‐loop system response is proved to be stable. The effectiveness of the proposed control is validated by extensive simulation and also experimental results, with the performance obtained by the proposed approach being compared throughout with a well‐known approach from the established literature. |
| first_indexed | 2024-04-14T07:30:28Z |
| format | Article |
| id | doaj.art-ab8ba8c441b8498a9f5f5905202e8e49 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-14T07:30:28Z |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-ab8ba8c441b8498a9f5f5905202e8e492022-12-22T02:05:53ZengWileyIET Control Theory & Applications1751-86441751-86522021-01-0115228129610.1049/cth2.12039Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systemsShouli Gao0Dongya Zhao1Xinggang Yan2Sarah K. Spurgeon3College of New Energy China University of Petroleum (East China) Qingdao ChinaCollege of New Energy China University of Petroleum (East China) Qingdao ChinaSchool of Engineering and Digital Arts University of Kent Canterbury UKDepartment of Electronic & Electrical Engineering University College London Torrington Place London UKAbstract There is a growing demand for robust data‐driven control methods particularly for industrial process control. This paper presents a new model‐free adaptive sliding mode control approach for a class of discrete‐time, multiple input and multiple output non‐linear systems. The proposed methodology seeks to address issues with the computation of inverse matrices and problems with singularity in existing methods while at the same time seeking to enhance robustness. A Majorization–Minimization technique and the L1 norm are used within the proposed optimization and an online iterative approach is described for update of the control law. The closed‐loop system response is proved to be stable. The effectiveness of the proposed control is validated by extensive simulation and also experimental results, with the performance obtained by the proposed approach being compared throughout with a well‐known approach from the established literature.https://doi.org/10.1049/cth2.12039Optimisation techniquesInterpolation and function approximation (numerical analysis)Optimisation techniquesInterpolation and function approximation (numerical analysis)Linear control systemsControl system analysis and synthesis methods |
| spellingShingle | Shouli Gao Dongya Zhao Xinggang Yan Sarah K. Spurgeon Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems IET Control Theory & Applications Optimisation techniques Interpolation and function approximation (numerical analysis) Optimisation techniques Interpolation and function approximation (numerical analysis) Linear control systems Control system analysis and synthesis methods |
| title | Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems |
| title_full | Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems |
| title_fullStr | Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems |
| title_full_unstemmed | Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems |
| title_short | Linearized Bregman iteration based model‐free adaptive sliding mode control for a class of non‐linear systems |
| title_sort | linearized bregman iteration based model free adaptive sliding mode control for a class of non linear systems |
| topic | Optimisation techniques Interpolation and function approximation (numerical analysis) Optimisation techniques Interpolation and function approximation (numerical analysis) Linear control systems Control system analysis and synthesis methods |
| url | https://doi.org/10.1049/cth2.12039 |
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