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Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance
Kang, Wen1,4; Guo, Bao-Zhu2,3
AbstractIn 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.
Keywordstability 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
Funding ProjectFundamental Research Funds for the Central Universities ; Program for Innovation Research of Science in Harbin Institute of Technology (PIRS of HIT)[Q201502]
WOS Research AreaAutomation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS IDWOS:000376683100007
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Document Type期刊论文
Corresponding AuthorKang, Wen
Affiliation1.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.
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