Stabilization and optimization of linear systems via pathwise state-feedback impulsive control
文献类型:期刊论文
作者 | Ai, Zidong |
刊名 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
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出版日期 | 2017-02-01 |
卷号 | 354期号:3页码:1637-1657 |
ISSN号 | 0016-0032 |
DOI | 10.1016/j.jfranklin.2016.12.005 |
英文摘要 | 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. |
语种 | 英语 |
WOS记录号 | WOS:000393007800020 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24691] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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