H∞ deployment of nonlinear multi-agent systems with Markov switching topologies over a finite-time interval based on T-S fuzzy PDE control

doi:10.3934/math.2024199

	H∞ deployment of nonlinear multi-agent systems with Markov switching topologies over a finite-time interval based on T-S fuzzy PDE control
	Wei, Hongbo 1; Cui, Xuerong 1; Zhang, Yucheng 2; Zhang, Jingyao 1
	2024
发表期刊	AIMS MATHEMATICS
卷号	9 期号:2 页码:4076-4097
摘要	The deployment of multi-agent systems (MASs) is widely used in the fields of unmanned agricultural machineries, unmanned aerial vehicles, intelligent transportation, etc. To make up for the defect that the existing PDE-based results are overly idealistic in terms of system models and control strategies, we study the PDE-based deployment of clustered nonlinear first-order and secondorder MASs over a finite-time interval (FTI). By designing special communication protocols, the collective dynamics of numerous agents are modeled by simple fist-order and second-order PDEs. Two practical factors, external disturbance and Markov switching topology, are considered in this paper to better match actual situations. Besides, T-S fuzzy technology is used to approximate the unknown nonlinearity of MASs. Then, by using boundary control scheme with collocated measurements, two theorems are obtained to ensure the finite-time H-infinity deployment of first-order and second-order agents, respectively. Finally, numerical examples are provided to illustrate the effectiveness of the proposed approaches.
关键词	nonlinear MASs H infinity deployment finite-time interval fuzzy PDE-based control Markov switching topologies
DOI	10.3934/math.2024199
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[52171341]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:001148733500003
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/40023
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Wei, Hongbo
作者单位	1.China Univ Petr East China, Coll Oceanog & Space Informat, Qingdao 266000, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Ctr Adv Comp Res, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wei, Hongbo,Cui, Xuerong,Zhang, Yucheng,et al. H∞ deployment of nonlinear multi-agent systems with Markov switching topologies over a finite-time interval based on T-S fuzzy PDE control[J]. AIMS MATHEMATICS,2024,9(2):4076-4097.
APA	Wei, Hongbo,Cui, Xuerong,Zhang, Yucheng,&Zhang, Jingyao.(2024).H∞ deployment of nonlinear multi-agent systems with Markov switching topologies over a finite-time interval based on T-S fuzzy PDE control.AIMS MATHEMATICS,9(2),4076-4097.
MLA	Wei, Hongbo,et al."H∞ deployment of nonlinear multi-agent systems with Markov switching topologies over a finite-time interval based on T-S fuzzy PDE control".AIMS MATHEMATICS 9.2(2024):4076-4097.