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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Vydáno v:International journal of systems science Ročník 45; číslo 9; s. 1869 - 1879
Hlavní autoři: Jiang, Yulian, Liu, Jianchang, Tan, Shubin, Ming, Pingsong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Taylor & Francis 02.09.2014
Témata:
Agents (artificial intelligence)
Algorithms
consensus algorithm
Convergence
convergence conditions
differential game
Differential games
Disturbances
Expert systems
Interference
multi-agent system
Robust control
ISSN:0020-7721, 1464-5319
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Shrnutí: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