Event-triggered consensus control for multi-agent systems with Markov switching topologies

This paper investigates the event-triggered consensus control problem for multi-agent systems with Markov switching topologies. By a linear transformation method, the mean-square consensus problem under event-triggered protocol is transformed into the mean-square stability problem subject to a certa...

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Bibliographic Details
Main Authors: Li, Shanglin, Chen, Yangzhou, Zhan, Jingyuan
Format: Conference Proceeding
Language:English
Subjects:
Consensus control
Event-triggered consensus
Linear matrix inequalities
Linear transformation
Markov processes
Markov switching topologies
Multi-agent systems
Protocols
Stability analysis
Switches
Topology
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Summary:This paper investigates the event-triggered consensus control problem for multi-agent systems with Markov switching topologies. By a linear transformation method, the mean-square consensus problem under event-triggered protocol is transformed into the mean-square stability problem subject to a certain constraint condition. Then by constructing Lyapunov function and employing the weak infinitesimal operator, the mode-dependent consensus controller gains are designed in terms of a bilinear matrix inequality. In order to write bilinear matrix inequality as a set of linear matrix inequalities, three kinds of iterative algorithms are developed. Finally, a simulation example is provided to verify the validity of the presented algorithms.
ISSN:2161-2927
DOI:10.23919/CCC52363.2021.9549923