Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control

doi:10.1109/TAC.2019.2926132

CSpace

	Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control
	Zhou, Hua-Cheng 1; Guo, Bao-Zhu 2,3,4; Xiang, Shu-Huang 1
	2020-05-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	65 期号:5 页码:1940-1955
摘要	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.
关键词	Active disturbance rejection control (ADRC) disturbance rejection heat equation output tracking
DOI	10.1109/TAC.2019.2926132
收录类别	SCI
语种	英语
资助项目	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研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000530344600009
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51415
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Bao-Zhu
作者单位	1.Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China 2.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
推荐引用方式 GB/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.