Distributed Optimization Based on a Multiagent System in the Presence of Communication Delays
Distributed Optimization Based on a Multiagent System in the Presence of Communication Delays
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DOI：
10.1109/tsmc.2016.2531649
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发表时间：
2017-05
期刊：
影响因子：
--
通讯作者：
Shaofu Yang;Qingshan Liu;Jun Wang
中科院分区：
文献类型：
--
作者：
Shaofu Yang;Qingshan Liu;Jun Wang
本文基于存在时变通信延迟的连续时间多智能体系统，研究了分布式优化问题。首先，揭示了时滞多智能体系统的最优解与平衡点之间的关系。其次，在慢变时滞和快变时滞的情况下，分别给出了线性矩阵不等式形式的时滞相关和时滞无关的收敛于最优解的充分条件.此外，一组条件也得到了无时滞的情况下。此外，基于时滞快变系统的条件，提出了一种采样数据通信方案。仿真结果证实了理论结果。最后给出了分布参数估计的一个应用。
In this paper, distributed optimization is addressed based on a continuous-time multiagent system in the presence of time-varying communication delays. First, the relationship between optimal solutions and the equilibrium points of the multiagent system with time delay is revealed. Next, delay-dependent and delay-independent sufficient conditions in form of linear matrix inequality are derived for ascertaining convergence to optimal solutions, in the cases of slow-varying delay and fast-varying delay. Furthermore, a set of conditions are also obtained for the delay-free case. In addition, a sampled-data communication scheme is presented based on the conditions for the fast varying delay systems. Simulation results are presented to substantiate the theoretical results. An application for distributed parameter estimation is also given.