Observers and Disturbance Rejection Control for a Heat Equation
Feng, Hongyinping1; Xu, Cheng-Zhong2; Yao, Peng-Fei3,4
AbstractThe article is concerned with active disturbance rejection control of a heat equation. The considered heat equation satisfies the Dirichlet boundary condition on one part of the boundary. On the other part of the boundary is located a Neumann boundary control. The heat equation system suffers from both a model uncertainty in the heat flow modeling and an unknown external disturbance. Our control approach is based on the design of an exponentially converging observer to estimates both the state and the unknown uncertainty. The estimated state and the estimated uncertainty are used to build a stabilizing feedback control law such that the closed-loop system is exponentially stabilized, and the external disturbance is rejected.
KeywordMathematical model Observers Heating systems Uncertainty Feedback control Closed loop systems Disturbance rejection control heat equation nonlinear boundary condition observer stabilization
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[61873153] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000583711500045
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Document Type期刊论文
Corresponding AuthorXu, Cheng-Zhong
Affiliation1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
2.Univ Claude Bernard Lyon 1, Univ Lyon, Dept Mech, LAGEPP, Batiment CPE,43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Feng, Hongyinping,Xu, Cheng-Zhong,Yao, Peng-Fei. Observers and Disturbance Rejection Control for a Heat Equation[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2020,65(11):4957-4964.
APA Feng, Hongyinping,Xu, Cheng-Zhong,&Yao, Peng-Fei.(2020).Observers and Disturbance Rejection Control for a Heat Equation.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,65(11),4957-4964.
MLA Feng, Hongyinping,et al."Observers and Disturbance Rejection Control for a Heat Equation".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 65.11(2020):4957-4964.
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