On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology
We discuss linear multiagent systems consensus problem with distributed reduced-order observer-based protocol under switching topology. We use Jordan decomposition method to prove that the proposed protocols can solve consensus problem under directed fixed topology. By constructing a parameter-depen...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/793276 |
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| _version_ | 1832565577083781120 |
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| author | Yan Zhang Lixin Gao Changfei Tong |
| author_facet | Yan Zhang Lixin Gao Changfei Tong |
| author_sort | Yan Zhang |
| collection | DOAJ |
| description | We discuss linear multiagent systems consensus problem with distributed reduced-order observer-based protocol under switching topology. We use Jordan decomposition method to prove that the proposed protocols can solve consensus problem under directed fixed topology. By constructing a parameter-dependent common Lyapunov function, we prove that the distributed reduced-order observer-based protocol can also solve the continuous-time multi-agent consensus problem under the undirected switching interconnection topology. Then, we investigate the leader-following consensus problem and propose a reduced-order observer-based protocol for each following agent. By using similar analysis method, we can prove that all following agents can track the leader under a class of directed interaction topologies. Finally, the given simulation example also shows the effectiveness of our obtained result. |
| format | Article |
| id | doaj-art-3ea6df695a5d4ea5922cf265395eb689 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3ea6df695a5d4ea5922cf265395eb6892025-02-03T01:07:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/793276793276On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching TopologyYan Zhang0Lixin Gao1Changfei Tong2Institute of Intelligent Systems and Decision, Wenzhou University, Zhejiang 325027, ChinaInstitute of Intelligent Systems and Decision, Wenzhou University, Zhejiang 325027, ChinaInstitute of Intelligent Systems and Decision, Wenzhou University, Zhejiang 325027, ChinaWe discuss linear multiagent systems consensus problem with distributed reduced-order observer-based protocol under switching topology. We use Jordan decomposition method to prove that the proposed protocols can solve consensus problem under directed fixed topology. By constructing a parameter-dependent common Lyapunov function, we prove that the distributed reduced-order observer-based protocol can also solve the continuous-time multi-agent consensus problem under the undirected switching interconnection topology. Then, we investigate the leader-following consensus problem and propose a reduced-order observer-based protocol for each following agent. By using similar analysis method, we can prove that all following agents can track the leader under a class of directed interaction topologies. Finally, the given simulation example also shows the effectiveness of our obtained result.http://dx.doi.org/10.1155/2013/793276 |
| spellingShingle | Yan Zhang Lixin Gao Changfei Tong On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology Abstract and Applied Analysis |
| title | On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology |
| title_full | On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology |
| title_fullStr | On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology |
| title_full_unstemmed | On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology |
| title_short | On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology |
| title_sort | on distributed reduced order observer based protocol for linear multiagent consensus under switching topology |
| url | http://dx.doi.org/10.1155/2013/793276 |
| work_keys_str_mv | AT yanzhang ondistributedreducedorderobserverbasedprotocolforlinearmultiagentconsensusunderswitchingtopology AT lixingao ondistributedreducedorderobserverbasedprotocolforlinearmultiagentconsensusunderswitchingtopology AT changfeitong ondistributedreducedorderobserverbasedprotocolforlinearmultiagentconsensusunderswitchingtopology |