四阶偏微分多智能体系统的迭代学习控制

数学物理学报 ›› 2020, Vol. 40 ›› Issue (4): 1029-1042.

四阶偏微分多智能体系统的迭代学习控制

郁鹏飞,傅勤*()

^{苏州科技大学数理学院江苏苏州 215009}

收稿日期:2019-05-24 出版日期:2020-08-26 发布日期:2020-08-20
通讯作者: 傅勤 E-mail:fuqin925@sina.com
基金资助:
国家自然科学基金(11971343);苏州科技大学研究生培养创新工程项目(SKCX18_Y01)

Iterative Learning Control for Fourth Order Partial Differential Multi-Agent Systems

Pengfei Yu,Qin Fu*()

^{School of Mathematics and Physics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009}

Received:2019-05-24 Online:2020-08-26 Published:2020-08-20
Contact: Qin Fu E-mail:fuqin925@sina.com
Supported by:
the NSFC(11971343);Suzhou University of Science and Technology Postgraduate Training Innovation Project(SKCX18_Y01)

摘要/Abstract

摘要：

该文研究多智能体系统基于一致性收敛的迭代学习控制问题，该系统中所有的智能体是由四阶梁方程构建而成.基于网络拓扑结构，并利用相邻智能体的信息，构建得到基于一致性的迭代学习控制协议.当该迭代学习律作用于系统时，一致性误差在给定的有限时间段上有界；进一步，在无初始偏差情形下，当迭代次数趋于无穷时，该一致性误差于${L^2}$空间中能够收敛于零.仿真算例验证了算法的有效性.

关键词: 多智能体系统, 迭代学习控制协议, 四阶梁方程, L²空间

Abstract:

In this paper, the problem of iterative learning control for multi-agent systems is studied based on consensus. All the considered agents are constructed by the fourth-order beam equations. Based on the network topology, a consensus iterative learning control protocol is designed by using the information of adjacent agents. When the iterative learning law is applied to the systems, the consensus errors are bounded, and furthermore, the consensus errors on ${L^2}$ space tend to zero as the iteration index tends to infinity in the absence of initial errors. The effectiveness of the algorithm is verified by simulation examples.

Key words: Multi-agent systems, Iterative learning control protocol, Fourth-order beam equation, L² space

中图分类号:

TP13

郁鹏飞,傅勤. 四阶偏微分多智能体系统的迭代学习控制[J]. 数学物理学报, 2020, 40(4): 1029-1042.

Pengfei Yu,Qin Fu. Iterative Learning Control for Fourth Order Partial Differential Multi-Agent Systems[J]. Acta mathematica scientia,Series A, 2020, 40(4): 1029-1042.

图/表 3

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