H∞ Sampled-Data Control for Singular Neutral System

H∞ Sampled-Data Control for Singular Neutral System

This study is concerned with the H∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for t...

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Main Authors: Minjie Zheng, Yujie Zhou, Shenhua Yang, Lina Li, Yongfeng Suo
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/8919714
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spelling doaj-dac2b9f685784737a384b7599f627ac52020-11-25T00:28:31ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/89197148919714H∞ Sampled-Data Control for Singular Neutral SystemMinjie Zheng0Yujie Zhou1Shenhua Yang2Lina Li3Yongfeng Suo4Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaNavigation College, Jimei University, No. 1, Jiageng Road, Jimei, Xiamen 361021, ChinaNavigation College, Jimei University, No. 1, Jiageng Road, Jimei, Xiamen 361021, ChinaNavigation College, Jimei University, No. 1, Jiageng Road, Jimei, Xiamen 361021, ChinaThis study is concerned with the H∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for the resultant system by incorporating the delay decomposition technique, Wirtinger-based integral inequality, and an augmented Lyapunov-Krasovskii functional. Sufficient conditions are derived to guarantee that the resulting system is regular, impulse-free, and asymptotically stable with prescribed H∞ performance. Then, the H∞ sampled-data controller is designed by means of linear matrix inequalities. Finally, two simulation results have shown that the proposed method is effective.http://dx.doi.org/10.1155/2017/8919714
collection DOAJ
language English
format Article
sources DOAJ
author Minjie Zheng
Yujie Zhou
Shenhua Yang
Lina Li
Yongfeng Suo
spellingShingle Minjie Zheng
Yujie Zhou
Shenhua Yang
Lina Li
Yongfeng Suo
H∞ Sampled-Data Control for Singular Neutral System
Mathematical Problems in Engineering
author_facet Minjie Zheng
Yujie Zhou
Shenhua Yang
Lina Li
Yongfeng Suo
author_sort Minjie Zheng
title H∞ Sampled-Data Control for Singular Neutral System
title_short H∞ Sampled-Data Control for Singular Neutral System
title_full H∞ Sampled-Data Control for Singular Neutral System
title_fullStr H∞ Sampled-Data Control for Singular Neutral System
title_full_unstemmed H∞ Sampled-Data Control for Singular Neutral System
title_sort h∞ sampled-data control for singular neutral system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description This study is concerned with the H∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for the resultant system by incorporating the delay decomposition technique, Wirtinger-based integral inequality, and an augmented Lyapunov-Krasovskii functional. Sufficient conditions are derived to guarantee that the resulting system is regular, impulse-free, and asymptotically stable with prescribed H∞ performance. Then, the H∞ sampled-data controller is designed by means of linear matrix inequalities. Finally, two simulation results have shown that the proposed method is effective.
url http://dx.doi.org/10.1155/2017/8919714
work_keys_str_mv AT minjiezheng hsampleddatacontrolforsingularneutralsystem
AT yujiezhou hsampleddatacontrolforsingularneutralsystem
AT shenhuayang hsampleddatacontrolforsingularneutralsystem
AT linali hsampleddatacontrolforsingularneutralsystem
AT yongfengsuo hsampleddatacontrolforsingularneutralsystem
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