Robust consensus algorithm for multi-agent systems with exogenous disturbances under convergence conditions

In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H ∞ robust control, differential game theory and a design-based approac...

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Veröffentlicht in:International journal of systems science Jg. 45; H. 9; S. 1869 - 1879
Hauptverfasser: Jiang, Yulian, Liu, Jianchang, Tan, Shubin, Ming, Pingsong
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis 02.09.2014
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ISSN:0020-7721, 1464-5319
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Zusammenfassung:In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H ∞ robust control, differential game theory and a design-based approach, the consensus problem of the MAS with exogenous bounded interference is resolved and the disturbances are restrained, simultaneously. Attention is focused on designing an H ∞ robust controller (the robust consensus algorithm) based on minimisation of our proposed rational and individual cost functions according to goals of the MAS. Furthermore, sufficient conditions for convergence of the robust consensus algorithm are given. An example is employed to demonstrate that our results are effective and more capable to restrain exogenous disturbances than the existing literature.
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2012.757384