Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems
This paper discusses the problem of robust controller design for two-dimensional (2-D) Markovian jump linear systems. The problem is demonstrated using Fornasini-Marchesini local state-space models, which are affected by uncertainties. The transition-mode probability matrix is homogenous and known....
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2017-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/7959037/ |
| _version_ | 1819171979117199360 |
|---|---|
| author | Zhe Li Tianfan Zhang Chen Ma Huxiong Li Xiaozhi Li |
| author_facet | Zhe Li Tianfan Zhang Chen Ma Huxiong Li Xiaozhi Li |
| author_sort | Zhe Li |
| collection | DOAJ |
| description | This paper discusses the problem of robust controller design for two-dimensional (2-D) Markovian jump linear systems. The problem is demonstrated using Fornasini-Marchesini local state-space models, which are affected by uncertainties. The transition-mode probability matrix is homogenous and known. It is assumed that the mode information is available for the controller design and implementation. Then, a mode-dependent state-feedback controller is proposed. By substituting the controller into the 2-D system, a stochastic closed-loop system is obtained, because the stochastic variable, external disturbance, and uncertainties are all included in the closed-loop system. Based on the analysis results, an approach to design the controller and its gains is proposed, and the gains are calculated by solving linear matrix inequalities. In section V, a 2-D case is used to verify the performance of the controller. |
| first_indexed | 2024-12-22T19:59:53Z |
| format | Article |
| id | doaj.art-45dea0526446442ba06969b7e91b56d7 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T19:59:53Z |
| publishDate | 2017-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-45dea0526446442ba06969b7e91b56d72022-12-21T18:14:18ZengIEEEIEEE Access2169-35362017-01-015121761218410.1109/ACCESS.2017.27199187959037Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time SystemsZhe Li0Tianfan Zhang1Chen Ma2Huxiong Li3https://orcid.org/0000-0003-0170-7297Xiaozhi Li4School of Economics and Management, Hubei Engineering University, Xiaogan, ChinaSchool of Economics and Management, Hubei Engineering University, Xiaogan, ChinaDepartment of Mechanical Engineering, University of Victoria, Victoria, BC, CanadaZhejiang University of Media and Communications, Hangzhou, ChinaWenzhou University, Wenzhou, ChinaThis paper discusses the problem of robust controller design for two-dimensional (2-D) Markovian jump linear systems. The problem is demonstrated using Fornasini-Marchesini local state-space models, which are affected by uncertainties. The transition-mode probability matrix is homogenous and known. It is assumed that the mode information is available for the controller design and implementation. Then, a mode-dependent state-feedback controller is proposed. By substituting the controller into the 2-D system, a stochastic closed-loop system is obtained, because the stochastic variable, external disturbance, and uncertainties are all included in the closed-loop system. Based on the analysis results, an approach to design the controller and its gains is proposed, and the gains are calculated by solving linear matrix inequalities. In section V, a 2-D case is used to verify the performance of the controller.https://ieeexplore.ieee.org/document/7959037/Two-dimensional digital systemMarkovian jump systempassivity analysislinear matrix inequality (LMI)dissipation analysis |
| spellingShingle | Zhe Li Tianfan Zhang Chen Ma Huxiong Li Xiaozhi Li Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems IEEE Access Two-dimensional digital system Markovian jump system passivity analysis linear matrix inequality (LMI) dissipation analysis |
| title | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
| title_full | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
| title_fullStr | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
| title_full_unstemmed | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
| title_short | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
| title_sort | robust passivity control for 2 d uncertain markovian jump linear discrete time systems |
| topic | Two-dimensional digital system Markovian jump system passivity analysis linear matrix inequality (LMI) dissipation analysis |
| url | https://ieeexplore.ieee.org/document/7959037/ |
| work_keys_str_mv | AT zheli robustpassivitycontrolfor2duncertainmarkovianjumplineardiscretetimesystems AT tianfanzhang robustpassivitycontrolfor2duncertainmarkovianjumplineardiscretetimesystems AT chenma robustpassivitycontrolfor2duncertainmarkovianjumplineardiscretetimesystems AT huxiongli robustpassivitycontrolfor2duncertainmarkovianjumplineardiscretetimesystems AT xiaozhili robustpassivitycontrolfor2duncertainmarkovianjumplineardiscretetimesystems |