Controllability of Two-Time-Scale Discrete-Time Multiagent Systems
Controllability of Two-Time-Scale Discrete-Time Multiagent Systems
复制标题
两个时间尺度离散时间多智能体系统的可控性
DOI：
10.1109/tcyb.2018.2884498
复制
发表时间：
2020-04-01
影响因子：
11.8
通讯作者：
Zeng, Zhigang
中科院分区：
文献类型：
--
作者：
Su, Housheng;Long, Mingkang;Zeng, Zhigang
研究了具有多智能体的双时间尺度离散系统的可控性问题。首先，用快速时间尺度上的奇摄动差分方程来描述系统。然后，为消除奇异扰动参数，采用迭代法和近似法将双时间尺度系统划分为慢速子系统和快速子系统；然后，利用矩阵理论，导出了系统的可控性的几个充要条件。此外，在三种特殊的网络拓扑下，利用图论给出了可控性的必要判据。最后，通过仿真实例验证了所提理论结果的有效性。
In this paper, the controllability problem is addressed for a two-time-scale discrete-time system with multiple agents. First, the system is described by a singularly perturbed difference equation expressed on fast timescale. Then, to eliminate the singular perturbation parameter, by using the iterative method and approximate approach, the two-time-scale system is separated into slow and fast subsystems. Subsequently, some sufficient and/or necessary conditions of controllability for the systems are derived by using matrix theory. Moreover, under three special network topologies, the necessary criteria for controllability are proposed via graph theory. Finally, we give a simulation example to illustrate the effectiveness of the proposed theoretical results.