Stabilization and optimization of linear systems via pathwise state-feedback impulsive control

doi:10.1016/j.jfranklin.2016.12.005

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	Stabilization and optimization of linear systems via pathwise state-feedback impulsive control
	Ai, Zidong
	2017-02-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	354 期号:3 页码:1637-1657
摘要	In this work, we address the stabilization and optimization issues for a class of linear systems in terms of pathwise state-feedback impulsive control. The pathwise state-feedback impulsive mechanism is shown universal in that any asymptotically stabilizable system admits such impulsive control law making the system stable. To improve the system performance, we establish some conditions the optimal impulse instants should satisfy using variational method, and design gradient-based algorithms to search for optimal impulse instants. A schematic algorithm is further designed to compute a series of parameters and construct a new and better impulsive control law. Finally, a numerical example shows the efficiency of the proposed approach. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.jfranklin.2016.12.005
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000393007800020
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24692
专题	中国科学院数学与系统科学研究院
通讯作者	Ai, Zidong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ai, Zidong. Stabilization and optimization of linear systems via pathwise state-feedback impulsive control[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2017,354(3):1637-1657.
APA	Ai, Zidong.(2017).Stabilization and optimization of linear systems via pathwise state-feedback impulsive control.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,354(3),1637-1657.
MLA	Ai, Zidong."Stabilization and optimization of linear systems via pathwise state-feedback impulsive control".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 354.3(2017):1637-1657.