Sampled-Data Leader-Following Consensus for a Class of Nonlinear Multi-Agent Systems with Sparse Sampling

Jiali He, Xueliang Liu · 2025

This paper investigates the leader-following consensus control problem for a class of Lipschitz nonlinear multiagent systems via sampled data feedback. By utilizing the idea of feedback domination and Lyapunov-Krasovskii functional method, we design a sampled-data controller for the follower agents, which relies solely on their own and neighboring agents' relative state sampled-data information. Under the communication topology is connected, we show that the leader-following consensus of Lipschitz nonlinear multi-agent systems can be achieved, even though the input delay, state delays and sampling period may be arbitrarily large. Finally, the theoretical results are verified through simulation example.

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