Distributed H∞ containment control of multiagent systems over switching topologies with communication time delay

Summary In this study, we consider the problem of distributed H∞ containment control for multiagent systems over switching communication topologies. There exists a constant time‐delay and the energy‐bounded communication disturbances in the information transmission process, which are considered. Usi...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 30; no. 13; pp. 5221 - 5232
Main Authors Wang, Dong, Huang, Yun, Guo, Shixin, Wang, Wei
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 10.09.2020
Subjects
Communication
Containment
containment control
Control systems
Convexity
H-infinity control
Hulls
Linear matrix inequalities
Mathematical analysis
Multiagent systems
Switching
switching topologies
time delay
Time lag
Topology
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Summary:Summary In this study, we consider the problem of distributed H∞ containment control for multiagent systems over switching communication topologies. There exists a constant time‐delay and the energy‐bounded communication disturbances in the information transmission process, which are considered. Using the relative output, we develop an observer‐based containment control scheme such that the followers asymptotically converge to the convex hull formed by the leaders with a guaranteed H∞ performance level. By constructing a Lyapunov functional and using the inequality technique, sufficient conditions for the existence of such dynamic controllers are obtained in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed control protocol.
Bibliography:Funding information
National Natural Science Foundation of China, Grant 61973050 and Grant 61773089, and by Fundamental Research Funds for the Central Universities under Grant DUT20GJ209 and Grant DUT20JC14
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5055