Dynamic and static feedback control for second order infinite-dimensional systems

doi:10.1002/asjc.2286

	Dynamic and static feedback control for second order infinite-dimensional systems
	Wei, Jing 2; Guo, Bao-Zhu 1,3
刊名	ASIAN JOURNAL OF CONTROL
	2020-01-14
页码	10
关键词	dynamic feedback stability static feedback
ISSN号	1561-8625
DOI	10.1002/asjc.2286
英文摘要	This paper considers dynamic feedback stabilization for abstract second-order systems, where the dynamic feedback controller is designed as another abstract second order infinite/finite-dimensional system. This makes the closed-loop system PDE-PDE or PDE-ODE coupled. The stability of the closed-loop system is found to have three different cases. We first consider the dynamic feedback control in a general Hilbert space which is usually different from the control space. It is shown that the stability of the closed-loop systems under the dynamic and static feedbacks are usually not equivalent. However, if the dynamic control law is a copy of the original system, we deduce, under some conditions, that the coupled system is exponentially stable if and only if the static feedback closed-loop system is exponentially stable. When the dynamic feedback is designed in the control space, the closed-loop system is asymptotically stable if and only if static feedback closed-loop system is asymptotically stable.
资助项目	Project of Department of Education of Guangdong Province[2017KZDXM087] ; National Natural Science Foundation of China[61873153] ; National Natural Science Foundation of China[11671240]
WOS研究方向	Automation & Control Systems
语种	英语
出版者	WILEY
WOS记录号	WOS:000507097200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50579]
专题	中国科学院数学与系统科学研究院
通讯作者	Wei, Jing
作者单位	1.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 2.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wei, Jing,Guo, Bao-Zhu. Dynamic and static feedback control for second order infinite-dimensional systems[J]. ASIAN JOURNAL OF CONTROL,2020:10.
APA	Wei, Jing,&Guo, Bao-Zhu.(2020).Dynamic and static feedback control for second order infinite-dimensional systems.ASIAN JOURNAL OF CONTROL,10.
MLA	Wei, Jing,et al."Dynamic and static feedback control for second order infinite-dimensional systems".ASIAN JOURNAL OF CONTROL (2020):10.