Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach

The problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel slid...

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Main Authors: Ruiping Xu, Zhen Liu, Cunchen Gao, Huimin Xiao
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/308681
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author Ruiping Xu
Zhen Liu
Cunchen Gao
Huimin Xiao
author_facet Ruiping Xu
Zhen Liu
Cunchen Gao
Huimin Xiao
author_sort Ruiping Xu
collection DOAJ
description The problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result.
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institution Kabale University
issn 1687-5249
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-fc7c4f346cb14dca9beff2c635bd5d7a2025-02-03T06:12:15ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/308681308681Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode ApproachRuiping Xu0Zhen Liu1Cunchen Gao2Huimin Xiao3College of Information Science and Engineering, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences & College of Physical and Environmental Oceanography, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences & College of Physical and Environmental Oceanography, Ocean University of China, Qingdao 266100, ChinaInstitute of Information and Systems Engineering, Henan University of Economics and Law, Zhengzhou 450002, ChinaThe problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result.http://dx.doi.org/10.1155/2015/308681
spellingShingle Ruiping Xu
Zhen Liu
Cunchen Gao
Huimin Xiao
Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
Journal of Control Science and Engineering
title Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
title_full Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
title_fullStr Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
title_full_unstemmed Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
title_short Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach
title_sort observer based robust passive control for a class of uncertain neutral systems an integral sliding mode approach
url http://dx.doi.org/10.1155/2015/308681
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AT cunchengao observerbasedrobustpassivecontrolforaclassofuncertainneutralsystemsanintegralslidingmodeapproach
AT huiminxiao observerbasedrobustpassivecontrolforaclassofuncertainneutralsystemsanintegralslidingmodeapproach