Design of boundary pulse width modulation controller for a class of heat equations

doi:10.1016/j.amc.2022.127511

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	Design of boundary pulse width modulation controller for a class of heat equations
	Zong, Xiju 1,2; Zhang, Ji-Feng 3; Zheng, Jiangtao 2; Liu, Zengxin 2; Ma, Guoyao 4
	2023-01-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	437 页码:16
摘要	This paper studies the asymptotic stability of a single heat equation and the synchro-nization of a class of networked heat equations under boundary pulse width modulation (PWM) control inputs. Firstly, two duty cycle schemes are modulated according to the whole state and the boundary output state to realize the asymptotic stability of a sin-gle heat equation. During each duty cycle, the amplitude of the pulse is fixed. Secondly, assuming that the networked heat equations are connected through undirected strongly connected topology, a boundary PWM controller for each subsystem is constructed based on boundary output state at each sampling instant and consensus protocols,which provides an alternative digital implementation strategy for the consensus control of networked heat equations. In addition, the effectiveness of the method is verified by numerical simulation.(c) 2022 Elsevier Inc. All rights reserved.
关键词	Heat equation Boundary PWM control Multi-agent systems Synchronization control
DOI	10.1016/j.amc.2022.127511
收录类别	SCI
语种	英语
资助项目	Project of Shandong Province Higher Educational Youth Innovation Science and Technology Program[2019KJN029] ; National Natural Science Foundation of China[12026215] ; National Natural Science Foundation of China[12026211]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000860536900005
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60978
专题	中国科学院数学与系统科学研究院
通讯作者	Zong, Xiju
作者单位	1.Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Shandong, Peoples R China 2.Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Zong, Xiju,Zhang, Ji-Feng,Zheng, Jiangtao,et al. Design of boundary pulse width modulation controller for a class of heat equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2023,437:16.
APA	Zong, Xiju,Zhang, Ji-Feng,Zheng, Jiangtao,Liu, Zengxin,&Ma, Guoyao.(2023).Design of boundary pulse width modulation controller for a class of heat equations.APPLIED MATHEMATICS AND COMPUTATION,437,16.
MLA	Zong, Xiju,et al."Design of boundary pulse width modulation controller for a class of heat equations".APPLIED MATHEMATICS AND COMPUTATION 437(2023):16.