Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems
The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/5139840 |
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| _version_ | 1832554796990595072 |
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| author | Yucai Ding Hui Liu |
| author_facet | Yucai Ding Hui Liu |
| author_sort | Yucai Ding |
| collection | DOAJ |
| description | The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. Moreover, a state-feedback controller is also designed based on the estimated reachable set. The derived sufficient conditions are expressed in terms of linear matrix inequalities. The effectiveness of the proposed results is illustrated by numerical examples. |
| format | Article |
| id | doaj-art-c89b2a43b9214c19b7625ef22e1d6c5f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c89b2a43b9214c19b7625ef22e1d6c5f2025-02-03T05:50:32ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/51398405139840Estimation and Synthesis of Reachable Set for Singular Markovian Jump SystemsYucai Ding0Hui Liu1School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaThe problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. Moreover, a state-feedback controller is also designed based on the estimated reachable set. The derived sufficient conditions are expressed in terms of linear matrix inequalities. The effectiveness of the proposed results is illustrated by numerical examples.http://dx.doi.org/10.1155/2018/5139840 |
| spellingShingle | Yucai Ding Hui Liu Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems Complexity |
| title | Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems |
| title_full | Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems |
| title_fullStr | Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems |
| title_full_unstemmed | Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems |
| title_short | Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems |
| title_sort | estimation and synthesis of reachable set for singular markovian jump systems |
| url | http://dx.doi.org/10.1155/2018/5139840 |
| work_keys_str_mv | AT yucaiding estimationandsynthesisofreachablesetforsingularmarkovianjumpsystems AT huiliu estimationandsynthesisofreachablesetforsingularmarkovianjumpsystems |