Robust error based non-collocated output tracking control for a heat equation
Guo, Bao-Zhu1,2,3; Meng, Tingting2,3
Source PublicationAUTOMATICA
AbstractIn this paper, an output tracking problem for a heat equation is considered, where all possible disturbances produced from an exosystem and a systematic uncertainty are considered and the performance output is non-collocated with control. The objective is twofold: to look at how the internal model principle works for the output tracking of PDEs: and to see how to design a robust tracking error feedback control for PDEs. To this purpose, we first select a frozen case with specially selected frozen coefficients of the disturbances. For this frozen system, we design a feedforward control by solving simply regulator equation and an infinite-dimensional extended state observer in terms of tracking error only which gives an estimation of both states of the frozen plant and exosystem. An observer-based tracking error feedback control is then designed for the frozen system, which is shown to be in line with the internal model principle. As a result, the system is shown to be robust to system uncertainty and disturbances in all channels. The numerical simulations validate the results. (C) 2020 Elsevier Ltd. All rights reserved.
KeywordInternal model principle Observer design Output tracking Disturbance rejection
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[61873260] ; Project of Department of Education of Guangdong Province, China[2017KZDXM087]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000519656500010
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Document Type期刊论文
Corresponding AuthorGuo, Bao-Zhu
Affiliation1.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Guo, Bao-Zhu,Meng, Tingting. Robust error based non-collocated output tracking control for a heat equation[J]. AUTOMATICA,2020,114:11.
APA Guo, Bao-Zhu,&Meng, Tingting.(2020).Robust error based non-collocated output tracking control for a heat equation.AUTOMATICA,114,11.
MLA Guo, Bao-Zhu,et al."Robust error based non-collocated output tracking control for a heat equation".AUTOMATICA 114(2020):11.
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