H∞ Control for Second-order Multi-agent Systems With Markovian Switching Topologies

In this paper, we studies consensus problems for double-integrator multi-agent systems subject to external disturbances and randomly switching topologies which obeys time homogeneous Markov process. Building on the tenets of the stochastic stability theory and the H ∞ control approach, the sufficien...

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Bibliographic Details
Published inChinese Automation Congress (Online) pp. 3875 - 3879
Main Authors Chen, Kaiqiang, Huang, Wenchao, Huang, Yanwei, Chen, Shaobin, Tang, Binhuang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2019
Subjects
Consensus
H∞ control
Markov processes
Multi-agent systems
Network topology
Randomly switching topologies
Switches
Symmetric matrices
Topology
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ISSN2688-0938
DOI10.1109/CAC48633.2019.8996252

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Summary:In this paper, we studies consensus problems for double-integrator multi-agent systems subject to external disturbances and randomly switching topologies which obeys time homogeneous Markov process. Building on the tenets of the stochastic stability theory and the H ∞ control approach, the sufficient condition of consensus with H ∞ performance is derived for the systems. The control protocol presented is a common one which is not strictly dependent on random state. Finally, the theoretical results were verified by simulation.
ISSN:2688-0938
DOI:10.1109/CAC48633.2019.8996252