Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance

doi:10.1049/iet-cta.2015.0953

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	Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance
	Kang, Wen 1,4; Guo, Bao-Zhu2,3
刊名	IET CONTROL THEORY AND APPLICATIONS
	2016-06-05
卷号	10 期号:9 页码:1027-1039
关键词	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
ISSN号	1751-8644
DOI	10.1049/iet-cta.2015.0953
英文摘要	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.
资助项目	Fundamental Research Funds for the Central Universities ; Program for Innovation Research of Science in Harbin Institute of Technology (PIRS of HIT)[Q201502]
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
语种	英语
出版者	INST ENGINEERING TECHNOLOGY-IET
WOS记录号	WOS:000376683100007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22778]
专题	系统科学研究所
通讯作者	Kang, Wen
作者单位	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
推荐引用方式 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.