Allowable sampling period for consensus control of multiple general linear dynamical agents in random networks
Allowable sampling period for consensus control of multiple general linear dynamical agents in random networks
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DOI：
10.1080/00207179.2010.523847
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发表时间：
2010-10
影响因子：
2.1
通讯作者：
Ya Zhang;Yu-Ping Tian
中科院分区：
文献类型：
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作者：
Ya Zhang;Yu-Ping Tian
本文研究了随机通信网络上一类采样数据一般线性动力主体的一致性问题。动态输出反馈协议被用来解决一致性问题。当采样周期足够小时，它表明，只要平均拓扑具有全局可达的节点，均方共识可以通过选择协议参数，使n-1个指定的子系统同时稳定。然而，当采样周期比较大时，它揭示了不同于低阶积分多智能体系统的一致性问题可能是不可解的。利用混合动力系统理论，进一步给出了采样周期的允许上界。还提供了两种设计协议的方法。仿真结果验证了所提方法的有效性。
This article studies the consensus problem for a group of sampled-data general linear dynamical agents over random communication networks. Dynamic output feedback protocols are applied to solve the consensus problem. When the sampling period is sufficiently small, it is shown that as long as the mean topology has globally reachable nodes, the mean square consensus can be achieved by selecting protocol parameters so that n − 1 specified subsystems are simultaneously stabilised. However, when the sampling period is comparatively large, it is revealed that differing from low-order integrator multi-agent systems the consensus problem may be unsolvable. By using the hybrid dynamical system theory, an allowable upper bound of sampling period is further proposed. Two approaches to designing protocols are also provided. Simulations are given to illustrate the validity of the proposed approaches.