KMS Of Academy of mathematics and systems sciences, CAS
| Design of boundary pulse width modulation controller for a class of heat equations | |
| Zong, Xiju1,2; Zhang, Ji-Feng3; Zheng, Jiangtao2; Liu, Zengxin2; Ma, Guoyao4 | |
| 2023-01-15 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
 |
| ISSN | 0096-3003 |
| Volume | 437Pages:16 |
| Abstract | 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. |
| Keyword | Heat equation Boundary PWM control Multi-agent systems Synchronization control |
| DOI | 10.1016/j.amc.2022.127511 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000860536900005 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60978 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zong, Xiju |
| Affiliation | 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 |
| Recommended Citation 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. |
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