Forced Consensus of Multi-Agent Systems with Directed Communication Topology and Interval Time-Varying Delay

Abstract:

This paper is concernedwith forced consensus problem for directed multi-agent systems with intervaltime-varying delay, whereall agents approach a constant reference trajectory under the condition thatonly a subset of the agents can receive information from the reference state. Thetime-varying delay is assumed to belong to an interval with known lower andupper bounds, but its lower bound may be greater than zero. We first propose a consensusalgorithm that extends the existing results in the literature to account forinterval time-varying delay. Then, the consensus stability analysis isconducted by introducing an appropriate Lyapunov-Krasovskii functional and using Jensen inequalitytechnique. A delay-range-dependentstability criterion is derived in terms of linear matrixinequalities, which can be efficiently solved by the interior-point algorithm.Finally, simulation examples indicatethe capabilities of the proposed algorithm.

• Periodical: Applied Mechanics and Materials (Volumes 321-324)
• Pages: 852-857
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.321-324.852
• Online since: June 2013
• Authors: Ming Kai He, Jun Wei Wang
• Keywords: Consensus, Interval Time-Varying Delay, Linear Matrix Inequality (LMI), Multi-Agent System (MAS)

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DOI: 10.1137/1.9781611970777