Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
This study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9446841/ |
| _version_ | 1811209811477397504 |
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| author | Won Il Lee Bum Yong Park |
| author_facet | Won Il Lee Bum Yong Park |
| author_sort | Won Il Lee |
| collection | DOAJ |
| description | This study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as two control parts: a linear control part for stabilizing the system and a nonlinear control part for eliminating undesirable effects from the quantized input. Moreover, an appropriate weighting method, using lower and upper bounds of the partial transition rate, is employed to derive a less conservative stability condition. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed controller. |
| first_indexed | 2024-04-12T04:46:19Z |
| format | Article |
| id | doaj.art-f76711332181410ab31a724bd49b814a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T04:46:19Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-f76711332181410ab31a724bd49b814a2022-12-22T03:47:30ZengIEEEIEEE Access2169-35362021-01-019834998350610.1109/ACCESS.2021.30865049446841Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition RatesWon Il Lee0https://orcid.org/0000-0002-0851-3113Bum Yong Park1https://orcid.org/0000-0001-9490-0365The Division of Electrical Engineering, Kumoh National Institute of Technology, Gumi-si, Republic of KoreaDepartment of IT Convergence Engineering, The Division of Electrical Engineering, Kumoh National Institute of Technology, Gumi-si, Republic of KoreaThis study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as two control parts: a linear control part for stabilizing the system and a nonlinear control part for eliminating undesirable effects from the quantized input. Moreover, an appropriate weighting method, using lower and upper bounds of the partial transition rate, is employed to derive a less conservative stability condition. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed controller.https://ieeexplore.ieee.org/document/9446841/Linear matrix inequalityMarkovian jump systemquantized inputuncertain transition rate |
| spellingShingle | Won Il Lee Bum Yong Park Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates IEEE Access Linear matrix inequality Markovian jump system quantized input uncertain transition rate |
| title | Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates |
| title_full | Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates |
| title_fullStr | Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates |
| title_full_unstemmed | Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates |
| title_short | Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates |
| title_sort | stabilization of markovian jump systems with quantized input and generally uncertain transition rates |
| topic | Linear matrix inequality Markovian jump system quantized input uncertain transition rate |
| url | https://ieeexplore.ieee.org/document/9446841/ |
| work_keys_str_mv | AT wonillee stabilizationofmarkovianjumpsystemswithquantizedinputandgenerallyuncertaintransitionrates AT bumyongpark stabilizationofmarkovianjumpsystemswithquantizedinputandgenerallyuncertaintransitionrates |