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 Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control Zhou, Hua-Cheng1; Guo, Bao-Zhu2,3,4; Xiang, Shu-Huang1 2020-05-01 Source Publication IEEE TRANSACTIONS ON AUTOMATIC CONTROL ISSN 0018-9286 Volume 65Issue:5Pages:1940-1955 Abstract This paper investigates performance output tracking for a boundary controlled multidimensional heat equation. It is assumed that the so-called total disturbance (which is composed of internal possibly nonlinear uncertainty and external disturbance) the equation is subject to is on one part of the boundary, and that the control is applied on the rest of the boundary. Using only partial boundary measurement, we first propose an extended state observer to estimate both system state and the total disturbance. This allows us to design a servomechanism and then an output feedback controller. Under the condition that both the reference signal and the disturbance vanish or belong to spaces $H<^>1(0,\infty ;L<^>1(\Gamma _1))$ and $L<^>2(0,\infty ;L<^>2(\Gamma _0))$, respectively. We show that the over-all control strategy achieves three objectives on the system performance: first, exponentially output tracking for arbitrary given reference signal; second, uniformly boundedness of all internal signals; and, third, the internal asymptotic stability of the closed-loop system. In addition, the control strategy turns out to be robust to the measurement noise. We provide numerical experiments to illustrate the effectiveness of the proposed control strategy. Keyword Active disturbance rejection control (ADRC) disturbance rejection heat equation output tracking DOI 10.1109/TAC.2019.2926132 Indexed By SCI Language 英语 Funding Project National Natural Science Foundation of China[61803386] ; National Natural Science Foundation of China[61873260] ; Israel Science Foundation[800/14] ; Project of Department of Education of Guangdong Province[2017KZDXM087] WOS Research Area Automation & Control Systems ; Engineering WOS Subject Automation & Control Systems ; Engineering, Electrical & Electronic WOS ID WOS:000530344600009 Publisher IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/51415 Collection 中国科学院数学与系统科学研究院 Corresponding Author Guo, Bao-Zhu Affiliation 1.Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China2.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China Recommended CitationGB/T 7714 Zhou, Hua-Cheng,Guo, Bao-Zhu,Xiang, Shu-Huang. Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2020,65(5):1940-1955. APA Zhou, Hua-Cheng,Guo, Bao-Zhu,&Xiang, Shu-Huang.(2020).Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,65(5),1940-1955. MLA Zhou, Hua-Cheng,et al."Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 65.5(2020):1940-1955.
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