Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies
The relationship between control and communication constraints is becoming of central importance in the consensus problem of networked agents. In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics. To reflect communication constraints, the topology is...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/5340642 |
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| _version_ | 1832567597528252416 |
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| author | Junwei Wang Kairui Chen Yun Zhang |
| author_facet | Junwei Wang Kairui Chen Yun Zhang |
| author_sort | Junwei Wang |
| collection | DOAJ |
| description | The relationship between control and communication constraints is becoming of central importance in the consensus problem of networked agents. In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics. To reflect communication constraints, the topology is assumed to switch within a finite set of digraphs characterised by an average dwell time switching signal. By constructing a suitable multiple Lyapunov function, we show that consensus can be reached under the designed consensus protocol. A multistep algorithm for designing consensus protocol is then developed by solving the Lyapunov equation and algebraic Riccati equation. Finally, simulation examples are delineated to substantiate the effectiveness of the proposed algorithms. |
| format | Article |
| id | doaj-art-8a9f9b9cce8c4e8facc7bb3c8e7cb308 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8a9f9b9cce8c4e8facc7bb3c8e7cb3082025-02-03T01:00:59ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/53406425340642Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching TopologiesJunwei Wang0Kairui Chen1Yun Zhang2Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaThe relationship between control and communication constraints is becoming of central importance in the consensus problem of networked agents. In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics. To reflect communication constraints, the topology is assumed to switch within a finite set of digraphs characterised by an average dwell time switching signal. By constructing a suitable multiple Lyapunov function, we show that consensus can be reached under the designed consensus protocol. A multistep algorithm for designing consensus protocol is then developed by solving the Lyapunov equation and algebraic Riccati equation. Finally, simulation examples are delineated to substantiate the effectiveness of the proposed algorithms.http://dx.doi.org/10.1155/2017/5340642 |
| spellingShingle | Junwei Wang Kairui Chen Yun Zhang Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies Complexity |
| title | Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies |
| title_full | Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies |
| title_fullStr | Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies |
| title_full_unstemmed | Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies |
| title_short | Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies |
| title_sort | consensus of high order nonlinear multiagent systems with constrained switching topologies |
| url | http://dx.doi.org/10.1155/2017/5340642 |
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