Positivity-Preserving Consensus of Homogeneous Multiagent Systems
Positivity-Preserving Consensus of Homogeneous Multiagent Systems
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DOI：
10.1109/tac.2019.2946205
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发表时间：
2020-06-01
影响因子：
6.8
通讯作者：
Shu, Zhan
中科院分区：
文献类型：
--
作者：
Liu, Jason J. R.;Lam, James;Shu, Zhan
本文讨论了无向正多智能体系统的正性保持一致性问题。研究了所有智能体具有相同的多输入正状态空间模型的情况。利用正系统理论，通过分析整个闭环系统的性质，得到了系统保持正性的一致性条件。为了保持Agent的正性，得到了两个保持正性一致性的条件。与现有的一些只给出解的充分条件不同，本文给出了解的充分必要条件。然后，开发了相应的算法进行求解。仿真结果验证了理论结果和算法的有效性。
This note deals with the positivity-preserving consensus problem for undirected positive multiagent systems. The case that all agents have identical positive state-space models with multiple inputs is investigated. Using positive systems theory and analyzing the properties of the overall closed-loop system, positivity-preserving consensus conditions are derived. In order to preserve the positivity property of the agents, two conditions for positivity-preserving consensus are obtained. In contrast to some existing works that only give sufficient conditions for the solution, necessary and sufficient conditions are provided in this note. Then, the corresponding algorithm is developed for solution. Simulations are used to illustrate the effectiveness of the theoretical results and proposed algorithm.