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Stabilization and optimization of linear systems via pathwise state-feedback impulsive control
Ai, Zidong
2017-02-01
Source PublicationJOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN0016-0032
Volume354Issue:3Pages:1637-1657
AbstractIn 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.
DOI10.1016/j.jfranklin.2016.12.005
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000393007800020
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24692
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
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.
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