南方科技大学知识苑(SUSTech KC): Brockett's Second Example: A FAS Approach Treatment

题名	Brockett's Second Example: A FAS Approach Treatment
作者	Duan, Guang-Ren1,2
通讯作者	Duan, Guang-Ren
发表日期	2023-10-01
DOI	10.1007/s11424-023-2282-x
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 影响因子和分区
ISSN	1009-6124
EISSN	1559-7067
卷号	36 期号:5页码:1789-1808
摘要	In this paper, several equivalent forms of the well-known Brockett's second example system are firstly presented. The stabilization of the system is then treated in the fully actuated system approach. A simple continuous time-invariant sub-stabilizing controller is designed, and the corresponding region of attraction is characterized. As a result, all trajectories of the system starting from the characterized region of attraction are driven exponentially to the origin. Since the region of attraction is very large, the designed sub-stabilizing controller can be directly useful in many practical situations. In cases where the initial values are indeed needed to be chosen out of the region of attraction, extremely simple pre-controllers can be designed, which drive the system trajectories into the designed region of attraction. A simulation of the designed control system is carried out to show the effect of the proposed approach.
关键词	Brockett integrator continuous time-invariant controllers fully actuated system approach region of attraction sub-stabilization
相关链接	[来源记录]
收录类别	SCI ; EI
语种	英语
学校署名	第一 ; 通讯
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:001085954700001
出版者	SPRINGER HEIDELBERG
EI入藏号	20234314939281
EI主题词	Continuous time systems ; Controllers
EI分类号	Control Equipment:732.1 ; Systems Science:961
来源库	Web of Science
引用统计	被引频次[WOS]：10
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/582860
专题	南方科技大学
作者单位	1.Southern Univ Sci & Technol, Shenzhen Key Lab Control Theory & Intelligent Syst, Shenzhen 518055, Peoples R China 2.Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
第一作者单位	南方科技大学
通讯作者单位	南方科技大学
第一作者的第一单位	南方科技大学
推荐引用方式 GB/T 7714	Duan, Guang-Ren. Brockett's Second Example: A FAS Approach Treatment[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2023,36(5):1789-1808.
APA	Duan, Guang-Ren.(2023).Brockett's Second Example: A FAS Approach Treatment.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,36(5),1789-1808.
MLA	Duan, Guang-Ren."Brockett's Second Example: A FAS Approach Treatment".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 36.5(2023):1789-1808.