Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates
This paper is concerned with model predictive control (MPC) problem for continuous-time Markov Jump Systems (MJSs) with incomplete transition rates and singular character. Sufficient conditions for the existence of a model predictive controller, which could optimize a quadratic cost function and gua...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/140527 |
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| _version_ | 1832568028561145856 |
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| author | Xinxin Gu Jiwei Wen Li Peng |
| author_facet | Xinxin Gu Jiwei Wen Li Peng |
| author_sort | Xinxin Gu |
| collection | DOAJ |
| description | This paper is concerned with model predictive control (MPC) problem for continuous-time Markov Jump Systems (MJSs) with incomplete transition rates and singular character. Sufficient conditions for the existence of a model predictive controller, which could optimize a quadratic cost function and guarantee that the system is piecewise regular, impulse-free, and mean square stable, are given in two cases at each sampling time. Since the MPC strategy is aggregated into continuous-time singular MJSs, a discrete-time controller is employed to deal with a continuous-time plant and the cost function not only refers to the singularity but also considers the sampling period. Moreover, the feasibility of the MPC scheme and the mean square admissibility of the closed-loop system are deeply discussed by using the invariant ellipsoid. Finally, a numerical example is given to illustrate the main results. |
| format | Article |
| id | doaj-art-c5507da9294d4b96b5a0e1262af7b482 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-c5507da9294d4b96b5a0e1262af7b4822025-02-03T00:59:57ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/140527140527Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition RatesXinxin Gu0Jiwei Wen1Li Peng2Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaKey Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaKey Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaThis paper is concerned with model predictive control (MPC) problem for continuous-time Markov Jump Systems (MJSs) with incomplete transition rates and singular character. Sufficient conditions for the existence of a model predictive controller, which could optimize a quadratic cost function and guarantee that the system is piecewise regular, impulse-free, and mean square stable, are given in two cases at each sampling time. Since the MPC strategy is aggregated into continuous-time singular MJSs, a discrete-time controller is employed to deal with a continuous-time plant and the cost function not only refers to the singularity but also considers the sampling period. Moreover, the feasibility of the MPC scheme and the mean square admissibility of the closed-loop system are deeply discussed by using the invariant ellipsoid. Finally, a numerical example is given to illustrate the main results.http://dx.doi.org/10.1155/2015/140527 |
| spellingShingle | Xinxin Gu Jiwei Wen Li Peng Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates Journal of Control Science and Engineering |
| title | Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates |
| title_full | Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates |
| title_fullStr | Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates |
| title_full_unstemmed | Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates |
| title_short | Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates |
| title_sort | model predictive control for continuous time singular jump systems with incomplete transition rates |
| url | http://dx.doi.org/10.1155/2015/140527 |
| work_keys_str_mv | AT xinxingu modelpredictivecontrolforcontinuoustimesingularjumpsystemswithincompletetransitionrates AT jiweiwen modelpredictivecontrolforcontinuoustimesingularjumpsystemswithincompletetransitionrates AT lipeng modelpredictivecontrolforcontinuoustimesingularjumpsystemswithincompletetransitionrates |