Event-triggered impulsive observer with K-asymptotic gain for DC microgrids
This paper studies the problem of the state estimate of a class of DC microgrids with both disturbed states and disturbed outputs via event-triggered impulsive observer (ETIO). First, a mathematical model is established for such class of DC microgrids, and then the notion of impulsive observer inclu...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | International Journal of Electrical Power & Energy Systems |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0142061523008098 |
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| author | Zhou-Teng Xie Bin Liu Yong-Zhong Liu Zhijie Sun |
| author_facet | Zhou-Teng Xie Bin Liu Yong-Zhong Liu Zhijie Sun |
| author_sort | Zhou-Teng Xie |
| collection | DOAJ |
| description | This paper studies the problem of the state estimate of a class of DC microgrids with both disturbed states and disturbed outputs via event-triggered impulsive observer (ETIO). First, a mathematical model is established for such class of DC microgrids, and then the notion of impulsive observer including impulsive observer with K-asymptotic gain is proposed. Then, by using two Lyapunov-like functions, a scheme of event-triggered impulsive control (ETIC) via three layers of event-triggering conditions is designed for ETIO to track the state of the DC microgrid. And an algorithm is given for the implementation of ETIC in practice. The ETIC scheme is then extended to the sampling-based ETIC (S-ETIC) to reduce the calculation and improve the effectiveness of the ETIC. Both theoretical proofs and numerical simulations are given to show that the proposed ETIO via both ETIC and S-ETIC can track the state of the DC microgrid within K-asymptotic gain. Specifically, when the disturbance tends to zero, the tracking is accurate. Moreover, the simulation is given for comparisons between ETIO and other observers including the classic impulsive observer, Luenberger observer, sliding mode observer, and extended state observer. It is shown that the designed ETIO has advantages of lower impulse frequency, lower control cost, and smaller tracking error than the other observers. |
| format | Article |
| id | doaj-art-4bdbb1f24e904c19bbe920d9f801e065 |
| institution | Kabale University |
| issn | 0142-0615 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Electrical Power & Energy Systems |
| spelling | doaj-art-4bdbb1f24e904c19bbe920d9f801e0652024-11-25T04:40:42ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152024-02-01156109752Event-triggered impulsive observer with K-asymptotic gain for DC microgridsZhou-Teng Xie0Bin Liu1Yong-Zhong Liu2Zhijie Sun3College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412000, PR ChinaCollege of Science, Hunan University of Technology, Zhuzhou 412000, Hunan, PR China; Corresponding author.College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412000, PR ChinaThe Mork Family Department of Chemical Engineering and Materials Science, Viterbi School of Engineering, University of Southern California, Los Angeles, CA 90089, USAThis paper studies the problem of the state estimate of a class of DC microgrids with both disturbed states and disturbed outputs via event-triggered impulsive observer (ETIO). First, a mathematical model is established for such class of DC microgrids, and then the notion of impulsive observer including impulsive observer with K-asymptotic gain is proposed. Then, by using two Lyapunov-like functions, a scheme of event-triggered impulsive control (ETIC) via three layers of event-triggering conditions is designed for ETIO to track the state of the DC microgrid. And an algorithm is given for the implementation of ETIC in practice. The ETIC scheme is then extended to the sampling-based ETIC (S-ETIC) to reduce the calculation and improve the effectiveness of the ETIC. Both theoretical proofs and numerical simulations are given to show that the proposed ETIO via both ETIC and S-ETIC can track the state of the DC microgrid within K-asymptotic gain. Specifically, when the disturbance tends to zero, the tracking is accurate. Moreover, the simulation is given for comparisons between ETIO and other observers including the classic impulsive observer, Luenberger observer, sliding mode observer, and extended state observer. It is shown that the designed ETIO has advantages of lower impulse frequency, lower control cost, and smaller tracking error than the other observers.http://www.sciencedirect.com/science/article/pii/S0142061523008098DC microgridObserverImpulsive observerEvent-triggered impulsive control (ETIC)Asymptotic gainDisturbance |
| spellingShingle | Zhou-Teng Xie Bin Liu Yong-Zhong Liu Zhijie Sun Event-triggered impulsive observer with K-asymptotic gain for DC microgrids International Journal of Electrical Power & Energy Systems DC microgrid Observer Impulsive observer Event-triggered impulsive control (ETIC) Asymptotic gain Disturbance |
| title | Event-triggered impulsive observer with K-asymptotic gain for DC microgrids |
| title_full | Event-triggered impulsive observer with K-asymptotic gain for DC microgrids |
| title_fullStr | Event-triggered impulsive observer with K-asymptotic gain for DC microgrids |
| title_full_unstemmed | Event-triggered impulsive observer with K-asymptotic gain for DC microgrids |
| title_short | Event-triggered impulsive observer with K-asymptotic gain for DC microgrids |
| title_sort | event triggered impulsive observer with k asymptotic gain for dc microgrids |
| topic | DC microgrid Observer Impulsive observer Event-triggered impulsive control (ETIC) Asymptotic gain Disturbance |
| url | http://www.sciencedirect.com/science/article/pii/S0142061523008098 |
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