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arXiv 2103.15929eess.SYcs.SY
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基于高斯过程的未知非线性多智能体系统分布式学习一致性控制

Distributed Learning Consensus Control for Unknown Nonlinear Multi-Agent Systems based on Gaussian Processes

Zewen Yang, Stefan Sosnowski, Qingchen Liu, Junjie Jiao, Armin Lederer, Sandra Hirche

摘要:

针对一类动态未知的非线性多智能体系统,设计了一种基于高斯过程回归的分布式学习主从一致性协议。我们提出了一种分布式学习方法来预测每个代理的剩余动态。通过李雅普诺夫分析的共识协议,使用数据驱动的动态模型的稳定性。通过应用所提出的控制律,跟随者最终以高概率同步到具有保证的误差界的领导者。仿真实例表明了该协议的有效性和适用性。

英文摘要:

In this paper, a distributed learning leader-follower consensus protocol based on Gaussian process regression for a class of nonlinear multi-agent systems with unknown dynamics is designed. We propose a distributed learning approach to predict the residual dynamics for each agent. The stability of the consensus protocol using the data-driven model of the dynamics is shown via Lyapunov analysis. The followers ultimately synchronize to the leader with guaranteed error bounds by applying the proposed control law with a high probability. The effectiveness and the applicability of the developed protocol are demonstrated by simulation examples.

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