Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times
In this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8890679/ |
| _version_ | 1798003363239952384 |
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| author | Guoliang Wang Xiangzhou Gao Xijie Li |
| author_facet | Guoliang Wang Xiangzhou Gao Xijie Li |
| author_sort | Guoliang Wang |
| collection | DOAJ |
| description | In this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into a similar one about another DMJS. Secondly, by exploiting a switched quadratic Lyapunov function (SQLF), sufficient conditions for the designed controller are given in terms of linear matrix inequalities (LMIs). Moreover, more extensions about stabilization realized by fault-tolerant and disordered controllers are considered. Finally, two practical examples are used to show the effectiveness and practicability of the proposed methods. |
| first_indexed | 2024-04-11T12:06:11Z |
| format | Article |
| id | doaj.art-8e351a3c037f49d0b463d83ccf908584 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T12:06:11Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-8e351a3c037f49d0b463d83ccf9085842022-12-22T04:24:42ZengIEEEIEEE Access2169-35362019-01-01716111216112210.1109/ACCESS.2019.29511808890679Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell TimesGuoliang Wang0https://orcid.org/0000-0003-3236-2404Xiangzhou Gao1Xijie Li2School of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaIn this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into a similar one about another DMJS. Secondly, by exploiting a switched quadratic Lyapunov function (SQLF), sufficient conditions for the designed controller are given in terms of linear matrix inequalities (LMIs). Moreover, more extensions about stabilization realized by fault-tolerant and disordered controllers are considered. Finally, two practical examples are used to show the effectiveness and practicability of the proposed methods.https://ieeexplore.ieee.org/document/8890679/Markovian jump systemspartially mode-dependent controllersdwell timesfault-tolerant controllersdisordered controllerslinear matrix inequalities |
| spellingShingle | Guoliang Wang Xiangzhou Gao Xijie Li Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times IEEE Access Markovian jump systems partially mode-dependent controllers dwell times fault-tolerant controllers disordered controllers linear matrix inequalities |
| title | Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times |
| title_full | Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times |
| title_fullStr | Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times |
| title_full_unstemmed | Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times |
| title_short | Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times |
| title_sort | stabilization of markovian jump systems via a partially mode dependent controller of dwell times |
| topic | Markovian jump systems partially mode-dependent controllers dwell times fault-tolerant controllers disordered controllers linear matrix inequalities |
| url | https://ieeexplore.ieee.org/document/8890679/ |
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