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....
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| Veröffentlicht in: | IEEE access 2017-01, Vol.5, p.12176-12184 |
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| creator | Li, Zhe Zhang, Tianfan Ma, Chen Li, Huxiong Li, Xiaozhi |
| 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. |
| doi_str_mv | 10.1109/ACCESS.2017.2719918 |
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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. 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(IEEE) 2017</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c408t-a34f7d0800fc0ba0f63deb9c127425f6c633f163eef70249e2a05651f739036b3</citedby><cites>FETCH-LOGICAL-c408t-a34f7d0800fc0ba0f63deb9c127425f6c633f163eef70249e2a05651f739036b3</cites><orcidid>0000-0003-0170-7297</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/7959037$$EHTML$$P50$$Gieee$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,2095,27612,27903,27904,54912</link.rule.ids></links><search><creatorcontrib>Li, Zhe</creatorcontrib><creatorcontrib>Zhang, Tianfan</creatorcontrib><creatorcontrib>Ma, Chen</creatorcontrib><creatorcontrib>Li, Huxiong</creatorcontrib><creatorcontrib>Li, Xiaozhi</creatorcontrib><title>Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems</title><title>IEEE access</title><addtitle>Access</addtitle><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. 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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.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/ACCESS.2017.2719918</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0003-0170-7297</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Asymptotic stability Closed loop systems Control systems design Controllers Discrete time systems dissipation analysis Feedback control Linear matrix inequalities linear matrix inequality (LMI) Linear systems Markovian jump system Mathematical analysis passivity analysis Robust control Robustness Stability analysis State space models Two-dimensional digital system Uncertainty |
| title | Robust Passivity Control for 2-D Uncertain Markovian Jump Linear Discrete-Time Systems |
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