KMS Of Academy of mathematics and systems sciences, CAS
| Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance | |
Kang, Wen1,4; Guo, Bao-Zhu2,3
| |
| 2016-06-05 | |
| Source Publication | IET CONTROL THEORY AND APPLICATIONS
 |
| ISSN | 1751-8644 |
| Volume | 10Issue:9Pages:1027-1039 |
| Abstract | In this study, the authors consider boundary stabilisation for a cascade of unstable heat partial differential equation systems with interconnection at one end and general external disturbance at the control end. An unknown input type observer is first designed by sliding mode control method to estimate the state, and its Filippov type solution is determined. To design an output feedback, they need to know a state feedback which could be realised by the backstepping transformation. The transformation transforms the system into an equivalent target system where the governing equations are stable. To deal with the disturbance, they apply the active disturbance rejection control to estimate the disturbance by output. Based on observer and disturbance estimator, an output feedback control is then designed. The existence of solution to the closed-loop system is proved and the stability is concluded. Finally, some numerical simulations are presented for illustration. |
| Keyword | stability partial differential equations observers variable structure systems state feedback control system synthesis numerical analysis unstable cascaded heat partial differential equation systems boundary disturbance boundary stabilisation interconnection unknown input type observer sliding mode control method Filippov type solution state feedback backstepping transformation active disturbance rejection control disturbance estimator output feedback control closed loop system stability numerical simulations |
| DOI | 10.1049/iet-cta.2015.0953 |
| Language | 英语 |
| Funding Project | Fundamental Research Funds for the Central Universities ; Program for Innovation Research of Science in Harbin Institute of Technology (PIRS of HIT)[Q201502] |
| WOS Research Area | Automation & Control Systems ; Engineering ; Instruments & Instrumentation |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation |
| WOS ID | WOS:000376683100007 |
| Publisher | INST ENGINEERING TECHNOLOGY-IET |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22779 |
| Collection | 系统科学研究所 |
| Corresponding Author | Kang, Wen |
| Affiliation | 1.Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa 4.Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel |
| Recommended Citation GB/T 7714 | Kang, Wen,Guo, Bao-Zhu. Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance[J]. IET CONTROL THEORY AND APPLICATIONS,2016,10(9):1027-1039. |
| APA | Kang, Wen,&Guo, Bao-Zhu.(2016).Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance.IET CONTROL THEORY AND APPLICATIONS,10(9),1027-1039. |
| MLA | Kang, Wen,et al."Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance".IET CONTROL THEORY AND APPLICATIONS 10.9(2016):1027-1039. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment