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
	2016-06-05
发表期刊	IET CONTROL THEORY AND APPLICATIONS
ISSN	1751-8644
卷号	10 期号:9 页码:1027-1039
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.
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
DOI	10.1049/iet-cta.2015.0953
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号	WOS:000376683100007
出版者	INST ENGINEERING TECHNOLOGY-IET
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22779
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.