Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only

doi:10.1109/TAC.2016.2572122

CSpace > 系统科学研究所

	Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only
	Feng, Hongyinping 1; Guo, Bao-Zhu2,3
	2017-03-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	62 期号:3 页码:1438-1444
摘要	In this technical note, we consider finite-time and exponential stabilization for one-dimensional wave equations by boundary displacement measurement only. We limit ourselves in the energy state space where the usual observability inequality is not valid anymore. However, in the optimal state space, the boundary displacement is indeed exactly observable. This motivates us to design observer via displacement output only for these systems. We first discuss a simple case as a motivation. An observer is designed and an output feedback control is then synthesized to make system finite-time stable in energy space. In this same spirit, we consider the same problem for an unstable wave equation and the finite-time stability is also achieved by displacement output feedback. Finally, we consider an anti-stable wave equation. A direct delayed output feedback control can achieve exponential stability with arbitrary decay rate. Simulation results are presented to validate the theoretical conclusions.
关键词	Boundary control exact observability finite-time stability observer wave equation
DOI	10.1109/TAC.2016.2572122
语种	英语
资助项目	National Natural Science Foundation of China[61403239] ; Science Council of Shanxi Province[2015021010] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000395924300033
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/24737
专题	系统科学研究所
通讯作者	Feng, Hongyinping; Guo, Bao-Zhu
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Feng, Hongyinping,Guo, Bao-Zhu. Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(3):1438-1444.
APA	Feng, Hongyinping,&Guo, Bao-Zhu.(2017).Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(3),1438-1444.
MLA	Feng, Hongyinping,et al."Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.3(2017):1438-1444.