Multi-Agent Consensus with a Time-Varying Reference State and Time-Varying Delays

Abstract:

This paper is devoted to the study of consensus problem of multi-agent systems with a time-varying reference state in directed networks with both switching topology and time-delay. Stability analysis is performed based on a proposed Lyapunov–Krasovskii function. Sufficient conditions based on linear matrix inequalities (LMIs) are given to guarantee that multi-agent consensus on a time-varying reference state can be achieved under arbitrary switching of the network topology even if the network communication is affected by time-delay. These consensus algorithms are also extended to consensus formation among the agents. Finally, simulation example is given to validate our theoretical results.

• Periodical: Applied Mechanics and Materials (Volumes 48-49)
• Pages: 724-729
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.48-49.724
• Online since: February 2011
• Authors: Hui Yu, Yi Zhang, Gao Yang Liu
• Keywords: Consensus Problem, Directed Network, Formation Control, Multi-Agent (MA), Switching Topology, Time Delay

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