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Data-Driven Leader-Follower Output Synchronization for Networked Non-Linear Multi-Agent Systems with Switching Topology and Time-Varying Delays

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Abstract

This paper studies the output synchronization problem for a class of networked non-linear multi-agent systems with switching topology and time-varying delays. To synchronize the outputs, a leader is introduced whose connectivity to the followers varies with time, and a novel data-driven consensus protocol based on model free adaptive control is proposed, where the reference input of each follower is designed to be the time-varying average of the neighboring agents’ outputs. Both the case when the leader is with a prescribed reference input and the case otherwise are considered. The proposed protocol allows for time-varying delays, switching topology, and does not use the agent structure or the dynamics information implicitly or explicitly. Sufficient conditions are derived to guarantee the closed-loop stability, and conditions for consensus convergence are obtained, where only a joint spanning tree is required. Numerical simulations and practical experiments are conducted to demonstrate the effectiveness of the proposed protocol.

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Correspondence to Chang-Jiang Li.

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This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61333003 and 61773144.

This paper was recommended for publication by Editor SUN Jian.

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Li, CJ., Liu, GP. Data-Driven Leader-Follower Output Synchronization for Networked Non-Linear Multi-Agent Systems with Switching Topology and Time-Varying Delays. J Syst Sci Complex 31, 87–102 (2018). https://doi.org/10.1007/s11424-018-7269-7

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  • DOI: https://doi.org/10.1007/s11424-018-7269-7

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