Sparse feedback controller: from open-loop solution to closed-loop realization
In this paper, we explore the discrete time sparse feedback control for a linear invariant system, where the proposed optimal feedback controller enjoys input sparsity by using a dynamic linear compensator, that is, the components of feedback control signal having the smallest possible nonzero value...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/18824889.2023.2237234 |
| _version_ | 1797366035860422656 |
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| author | Zhicheng Zhang Yasumasa Fujisaki |
| author_facet | Zhicheng Zhang Yasumasa Fujisaki |
| author_sort | Zhicheng Zhang |
| collection | DOAJ |
| description | In this paper, we explore the discrete time sparse feedback control for a linear invariant system, where the proposed optimal feedback controller enjoys input sparsity by using a dynamic linear compensator, that is, the components of feedback control signal having the smallest possible nonzero values. The resulting augmented dynamics ensures closed-loop stability, which infers sparse feedback controller from open-loop solution to closed-loop realization. In particular, we show that the implemented sparse feedback (closed-loop) control solution is equivalent to the original sparse (open-loop) control solution under a specified basis. We then extend the dynamic compensator to a feedforward tracking control problem. Finally, numerical examples demonstrate the effectiveness of proposed control approach. |
| first_indexed | 2024-03-08T16:59:31Z |
| format | Article |
| id | doaj.art-054a0293dc2a4cd092c56cf714baf509 |
| institution | Directory Open Access Journal |
| issn | 1884-9970 |
| language | English |
| last_indexed | 2024-03-08T16:59:31Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj.art-054a0293dc2a4cd092c56cf714baf5092024-01-04T15:59:08ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702023-12-0116128629610.1080/18824889.2023.22372342237234Sparse feedback controller: from open-loop solution to closed-loop realizationZhicheng Zhang0Yasumasa Fujisaki1Graduate School of Information Science and Technology, Osaka UniversityGraduate School of Information Science and Technology, Osaka UniversityIn this paper, we explore the discrete time sparse feedback control for a linear invariant system, where the proposed optimal feedback controller enjoys input sparsity by using a dynamic linear compensator, that is, the components of feedback control signal having the smallest possible nonzero values. The resulting augmented dynamics ensures closed-loop stability, which infers sparse feedback controller from open-loop solution to closed-loop realization. In particular, we show that the implemented sparse feedback (closed-loop) control solution is equivalent to the original sparse (open-loop) control solution under a specified basis. We then extend the dynamic compensator to a feedforward tracking control problem. Finally, numerical examples demonstrate the effectiveness of proposed control approach.http://dx.doi.org/10.1080/18824889.2023.2237234optimal controlinput sparsitydynamic linear compensatorclosed-loop solutiontracking control |
| spellingShingle | Zhicheng Zhang Yasumasa Fujisaki Sparse feedback controller: from open-loop solution to closed-loop realization SICE Journal of Control, Measurement, and System Integration optimal control input sparsity dynamic linear compensator closed-loop solution tracking control |
| title | Sparse feedback controller: from open-loop solution to closed-loop realization |
| title_full | Sparse feedback controller: from open-loop solution to closed-loop realization |
| title_fullStr | Sparse feedback controller: from open-loop solution to closed-loop realization |
| title_full_unstemmed | Sparse feedback controller: from open-loop solution to closed-loop realization |
| title_short | Sparse feedback controller: from open-loop solution to closed-loop realization |
| title_sort | sparse feedback controller from open loop solution to closed loop realization |
| topic | optimal control input sparsity dynamic linear compensator closed-loop solution tracking control |
| url | http://dx.doi.org/10.1080/18824889.2023.2237234 |
| work_keys_str_mv | AT zhichengzhang sparsefeedbackcontrollerfromopenloopsolutiontoclosedlooprealization AT yasumasafujisaki sparsefeedbackcontrollerfromopenloopsolutiontoclosedlooprealization |