Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) appr...

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Main Authors: Leipo Liu, Hao Xing, Xiangyang Cao, Zhumu Fu, Shuzhong Song
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/5790681
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spelling doaj-0218b7dab01f4d969a07828c0c34a4332020-11-24T20:56:10ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/57906815790681Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched SystemsLeipo Liu0Hao Xing1Xiangyang Cao2Zhumu Fu3Shuzhong Song4College of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaThis paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2018/5790681
collection DOAJ
language English
format Article
sources DOAJ
author Leipo Liu
Hao Xing
Xiangyang Cao
Zhumu Fu
Shuzhong Song
spellingShingle Leipo Liu
Hao Xing
Xiangyang Cao
Zhumu Fu
Shuzhong Song
Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
Complexity
author_facet Leipo Liu
Hao Xing
Xiangyang Cao
Zhumu Fu
Shuzhong Song
author_sort Leipo Liu
title Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
title_short Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
title_full Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
title_fullStr Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
title_full_unstemmed Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
title_sort guaranteed cost finite-time control of discrete-time positive impulsive switched systems
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2018/5790681
work_keys_str_mv AT leipoliu guaranteedcostfinitetimecontrolofdiscretetimepositiveimpulsiveswitchedsystems
AT haoxing guaranteedcostfinitetimecontrolofdiscretetimepositiveimpulsiveswitchedsystems
AT xiangyangcao guaranteedcostfinitetimecontrolofdiscretetimepositiveimpulsiveswitchedsystems
AT zhumufu guaranteedcostfinitetimecontrolofdiscretetimepositiveimpulsiveswitchedsystems
AT shuzhongsong guaranteedcostfinitetimecontrolofdiscretetimepositiveimpulsiveswitchedsystems
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