Event‐triggered predictor‐based control of distributed parameter systems
Abstract This paper deals with the point control problem for a class of distributed parameter systems with time varying delay induced by the network. To eliminate the effect of time delay, a predictor with the time‐varying gain is designed to predict the state based on the sampled data. Meanwhile, t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-03-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12073 |
| _version_ | 1818017735647428608 |
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| author | Huihui Ji Baotong Cui XinZhi Liu |
| author_facet | Huihui Ji Baotong Cui XinZhi Liu |
| author_sort | Huihui Ji |
| collection | DOAJ |
| description | Abstract This paper deals with the point control problem for a class of distributed parameter systems with time varying delay induced by the network. To eliminate the effect of time delay, a predictor with the time‐varying gain is designed to predict the state based on the sampled data. Meanwhile, the prediction error vanishes exponentially with the desired decay rate. To lighten greatly network loads and effectively improve the utilisation of the resource, an event‐triggered communication scheme is proposed to determine the transmitting of necessary sampled data. Then, based on the point feedback controller, the exponential stability condition of the distributed parameter system with the event‐triggered scheme is derived in the framework of linear matrix inequality. Furthermore, the feedback gain is given in this paper by using the Lyapunov–Krasovskii method where a novel Lyapunov–Krasovskii functional is constructed. The event‐triggered time interval is presented to show the number of maximum allowable packet loss. Finally, an example of a food web model is given to illustrate the effectiveness of the obtained results. |
| first_indexed | 2024-04-14T07:30:47Z |
| format | Article |
| id | doaj.art-0e736f08cbb64800a7acce14e8fe6643 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-14T07:30:47Z |
| publishDate | 2021-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-0e736f08cbb64800a7acce14e8fe66432022-12-22T02:05:52ZengWileyIET Control Theory & Applications1751-86441751-86522021-03-0115572173610.1049/cth2.12073Event‐triggered predictor‐based control of distributed parameter systemsHuihui Ji0Baotong CuiXinZhi Liu1School of Statistics and Mathematics Nanjing Audit University 86 West Yushan Road Nanjing 211815 ChinaSchool of Applied Mathematics University of Waterloo Ontario N2L 3G1 CanandaAbstract This paper deals with the point control problem for a class of distributed parameter systems with time varying delay induced by the network. To eliminate the effect of time delay, a predictor with the time‐varying gain is designed to predict the state based on the sampled data. Meanwhile, the prediction error vanishes exponentially with the desired decay rate. To lighten greatly network loads and effectively improve the utilisation of the resource, an event‐triggered communication scheme is proposed to determine the transmitting of necessary sampled data. Then, based on the point feedback controller, the exponential stability condition of the distributed parameter system with the event‐triggered scheme is derived in the framework of linear matrix inequality. Furthermore, the feedback gain is given in this paper by using the Lyapunov–Krasovskii method where a novel Lyapunov–Krasovskii functional is constructed. The event‐triggered time interval is presented to show the number of maximum allowable packet loss. Finally, an example of a food web model is given to illustrate the effectiveness of the obtained results.https://doi.org/10.1049/cth2.12073AlgebraControl system analysis and synthesis methodsStability in control theoryTime-varying control systemsDistributed parameter control systems |
| spellingShingle | Huihui Ji Baotong Cui XinZhi Liu Event‐triggered predictor‐based control of distributed parameter systems IET Control Theory & Applications Algebra Control system analysis and synthesis methods Stability in control theory Time-varying control systems Distributed parameter control systems |
| title | Event‐triggered predictor‐based control of distributed parameter systems |
| title_full | Event‐triggered predictor‐based control of distributed parameter systems |
| title_fullStr | Event‐triggered predictor‐based control of distributed parameter systems |
| title_full_unstemmed | Event‐triggered predictor‐based control of distributed parameter systems |
| title_short | Event‐triggered predictor‐based control of distributed parameter systems |
| title_sort | event triggered predictor based control of distributed parameter systems |
| topic | Algebra Control system analysis and synthesis methods Stability in control theory Time-varying control systems Distributed parameter control systems |
| url | https://doi.org/10.1049/cth2.12073 |
| work_keys_str_mv | AT huihuiji eventtriggeredpredictorbasedcontrolofdistributedparametersystems AT baotongcui eventtriggeredpredictorbasedcontrolofdistributedparametersystems AT xinzhiliu eventtriggeredpredictorbasedcontrolofdistributedparametersystems |