Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances
This article deals with the leader-following mean-square consensus problem of discrete-time general linear multi-agent systems with Markovian switching topologies and persistent disturbances. Assume that the communication topology is not connected at any time but the union topology is connected. Fir...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-08-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1177/1550147717726313 |
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| _version_ | 1832547175922401280 |
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| author | Lipo Mo Yintao Wang Tingting Pan Yikang Yang |
| author_facet | Lipo Mo Yintao Wang Tingting Pan Yikang Yang |
| author_sort | Lipo Mo |
| collection | DOAJ |
| description | This article deals with the leader-following mean-square consensus problem of discrete-time general linear multi-agent systems with Markovian switching topologies and persistent disturbances. Assume that the communication topology is not connected at any time but the union topology is connected. First, the estimators are designed to calculate the states of agents when external disturbance not exists. Based on the error information between the truth-values and estimated-values of states, the compensators are proposed to subject to the effect of persistent disturbances. And then, a new mean-square consensus control protocol is proposed for each agent. Second, by using the property of permutation matrix, the original closed-loop system is transferred into an equivalent system. Third, sufficient conditions for mean-square consensus are obtained in the form of matrix inequalities. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-c2b10d09ff1d439abb1aeb7872ffbab7 |
| institution | Kabale University |
| issn | 1550-1477 |
| language | English |
| publishDate | 2017-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj-art-c2b10d09ff1d439abb1aeb7872ffbab72025-02-03T06:45:41ZengWileyInternational Journal of Distributed Sensor Networks1550-14772017-08-011310.1177/1550147717726313Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbancesLipo Mo0Yintao Wang1Tingting Pan2Yikang Yang3School of Science, Beijing Technology and Business University, Beijing, P.R. ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, P.R. ChinaSchool of Science, Beijing Technology and Business University, Beijing, P.R. ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, P.R. ChinaThis article deals with the leader-following mean-square consensus problem of discrete-time general linear multi-agent systems with Markovian switching topologies and persistent disturbances. Assume that the communication topology is not connected at any time but the union topology is connected. First, the estimators are designed to calculate the states of agents when external disturbance not exists. Based on the error information between the truth-values and estimated-values of states, the compensators are proposed to subject to the effect of persistent disturbances. And then, a new mean-square consensus control protocol is proposed for each agent. Second, by using the property of permutation matrix, the original closed-loop system is transferred into an equivalent system. Third, sufficient conditions for mean-square consensus are obtained in the form of matrix inequalities. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.https://doi.org/10.1177/1550147717726313 |
| spellingShingle | Lipo Mo Yintao Wang Tingting Pan Yikang Yang Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances International Journal of Distributed Sensor Networks |
| title | Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances |
| title_full | Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances |
| title_fullStr | Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances |
| title_full_unstemmed | Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances |
| title_short | Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances |
| title_sort | mean square consensus of discrete time multi agent systems with markovian switching topologies and persistent disturbances |
| url | https://doi.org/10.1177/1550147717726313 |
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