A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints
Abstract A quasi‐differential type event‐triggered model predictive control (ET‐MPC) framework for continuous‐time linear systems with additional disturbances is constructed. Different from the existing ET‐MPC, the triggering condition of the proposed method is focused on the differences of the erro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-12-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12196 |
| _version_ | 1811261131893768192 |
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| author | Zhongxian Xu Lile He Ning He Botao Bai |
| author_facet | Zhongxian Xu Lile He Ning He Botao Bai |
| author_sort | Zhongxian Xu |
| collection | DOAJ |
| description | Abstract A quasi‐differential type event‐triggered model predictive control (ET‐MPC) framework for continuous‐time linear systems with additional disturbances is constructed. Different from the existing ET‐MPC, the triggering condition of the proposed method is focused on the differences of the errors between the actual states and the best prediction sequence at two consecutive sampling moments. Its advantage is that the dynamic characteristics of state changes can be better considered, which will achieve a more effective balance between communication load and system control performance. Then, to deal with persistent disturbances, a time‐varying tightening robustness state constraint is utilized in this scheme, instead of conventional state constraints. Finally, the new ET‐MPC algorithm is designed based on the dual‐mode control framework, and its feasibility, the system closed‐loop stability, as well as avoidance of Zeno behaviour are rigorously verified. Simulations and comparisons are provided to demonstrate the algorithm effectiveness. |
| first_indexed | 2024-04-12T18:57:59Z |
| format | Article |
| id | doaj.art-a7d7a37f8bca47af8acaa231565de46b |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-12T18:57:59Z |
| publishDate | 2021-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-a7d7a37f8bca47af8acaa231565de46b2022-12-22T03:20:15ZengWileyIET Control Theory & Applications1751-86441751-86522021-12-0115182334234310.1049/cth2.12196A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraintsZhongxian Xu0Lile He1Ning He2Botao Bai3School of Mechanical and Electrical Engineering Xi'an University of Architecture and Technology Xi'an ChinaSchool of Mechanical and Electrical Engineering Xi'an University of Architecture and Technology Xi'an ChinaSchool of Mechanical and Electrical Engineering Xi'an University of Architecture and Technology Xi'an ChinaSchool of Mechanical and Electrical Engineering Xi'an University of Architecture and Technology Xi'an ChinaAbstract A quasi‐differential type event‐triggered model predictive control (ET‐MPC) framework for continuous‐time linear systems with additional disturbances is constructed. Different from the existing ET‐MPC, the triggering condition of the proposed method is focused on the differences of the errors between the actual states and the best prediction sequence at two consecutive sampling moments. Its advantage is that the dynamic characteristics of state changes can be better considered, which will achieve a more effective balance between communication load and system control performance. Then, to deal with persistent disturbances, a time‐varying tightening robustness state constraint is utilized in this scheme, instead of conventional state constraints. Finally, the new ET‐MPC algorithm is designed based on the dual‐mode control framework, and its feasibility, the system closed‐loop stability, as well as avoidance of Zeno behaviour are rigorously verified. Simulations and comparisons are provided to demonstrate the algorithm effectiveness.https://doi.org/10.1049/cth2.12196Control system analysis and synthesis methodsStability in control theoryOptimal controlDiscrete control systemsLinear control systems |
| spellingShingle | Zhongxian Xu Lile He Ning He Botao Bai A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints IET Control Theory & Applications Control system analysis and synthesis methods Stability in control theory Optimal control Discrete control systems Linear control systems |
| title | A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints |
| title_full | A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints |
| title_fullStr | A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints |
| title_full_unstemmed | A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints |
| title_short | A quasi‐differential type event‐triggered model predictive control for perturbed continuous linear systems with constraints |
| title_sort | quasi differential type event triggered model predictive control for perturbed continuous linear systems with constraints |
| topic | Control system analysis and synthesis methods Stability in control theory Optimal control Discrete control systems Linear control systems |
| url | https://doi.org/10.1049/cth2.12196 |
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