南方科技大学知识苑(SUSTech KC): Stabilization via Fully Actuated System Approach: A Case Study

题名	Stabilization via Fully Actuated System Approach: A Case Study
作者	Duan，Guang Ren1,2
发表日期	2022-06-01
DOI	10.1007/s11424-022-2091-7
发表期刊	Journal of Systems Science & Complexity 影响因子和分区
ISSN	1009-6124
EISSN	1559-7067
卷号	35 期号:3页码:731-747
摘要	In this note, a benchmark example system which is not stabilizable by a smooth state feedback controller is considered with the fully actuated system (FAS) approach. It is shown that a smooth controller exists which drives the trajectories starting from a large domain in the initial value space to the origin exponentially. Such a result brings about a generalization of Lyapunov asymptotical stability, which is termed as global exponential sub-stability. The region of attraction is allowed to be an unbounded open set of the initial values with closure containing the origin. This sub-stability result may be viewed to be superior to some local stability results in the Lyapunov sense because the region of attraction is much larger than any finite ball containing the origin and meanwhile the feasible trajectories are always driven to the origin exponentially. Based on this sub-stabilization result, globally asymptotically stabilizing controllers for the system can be provided in two general ways, one is through combination with existing globally stabilizing controllers, and the other is by using a pre-controller to first move an initial point which is not within the region of attraction into the region of attraction.
关键词	Feedback stabilization fully actuated system approach nonlinear systems region of attraction singularity sets
相关链接	[Scopus记录]
收录类别	SCI ; EI
语种	英语
学校署名	第一
WOS记录号	WOS:000815636300001
EI入藏号	20222612298083
EI主题词	Controllers ; State feedback
EI分类号	Control Systems:731.1 ; Control Equipment:732.1
Scopus记录号	2-s2.0-85132897430
来源库	Scopus
引用统计	被引频次[WOS]：17
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/352495
专题	工学院_系统设计与智能制造学院南方科技大学
作者单位	1.Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen,518055,China 2.Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,150001,China
第一作者单位	系统设计与智能制造学院
第一作者的第一单位	系统设计与智能制造学院
推荐引用方式 GB/T 7714	Duan，Guang Ren. Stabilization via Fully Actuated System Approach: A Case Study[J]. Journal of Systems Science & Complexity,2022,35(3):731-747.
APA	Duan，Guang Ren.(2022).Stabilization via Fully Actuated System Approach: A Case Study.Journal of Systems Science & Complexity,35(3),731-747.
MLA	Duan，Guang Ren."Stabilization via Fully Actuated System Approach: A Case Study".Journal of Systems Science & Complexity 35.3(2022):731-747.