Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method

Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method

A non-fragile sliding mode control problem will be investigated in this article. The problem focuses on a kind of uncertain switched singular time-delay systems in which the state is not available. First, according to the designed non-fragile observer, we will construct an integral-type sliding surf...

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Main Authors: Chuan Li, Zhengtian Wu, Xinyin Xu, Jinjin Zheng, Chuangyin Dang
Format: Article
Language:English
Published: SAGE Publishing 2018-12-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814018819585
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spelling doaj-f5545f0ec5af471cb8b5ecb9060364c62020-11-25T03:39:23ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402018-12-011010.1177/1687814018819585Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer methodChuan Li0Zhengtian Wu1Xinyin Xu2Jinjin Zheng3Chuangyin Dang4Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kawloon, Hong KongDepartment of Mechanical Engineering, Politecnico di Milano, Milan, ItalySchool of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, ChinaDepartment of Precision Machinery and Precision Instruments, University of Science and Technology of China, Hefei, ChinaDepartment of Systems Engineering and Engineering Management, City University of Hong Kong, Kawloon, Hong KongA non-fragile sliding mode control problem will be investigated in this article. The problem focuses on a kind of uncertain switched singular time-delay systems in which the state is not available. First, according to the designed non-fragile observer, we will construct an integral-type sliding surface, in which the estimated unmeasured state is used. Second, we synthesize a sliding mode controller. The reachability of the specified sliding surface could be proved by this sliding mode controller in a finite time. Moreover, linear matrix inequality conditions will be developed to check the exponential admissibility of the sliding mode dynamics. After that, the gain matrices designed will be given along with it. Finally, some numerical result will be provided, and the result can be used to prove the effectiveness of the method.https://doi.org/10.1177/1687814018819585
collection DOAJ
language English
format Article
sources DOAJ
author Chuan Li
Zhengtian Wu
Xinyin Xu
Jinjin Zheng
Chuangyin Dang
spellingShingle Chuan Li
Zhengtian Wu
Xinyin Xu
Jinjin Zheng
Chuangyin Dang
Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
Advances in Mechanical Engineering
author_facet Chuan Li
Zhengtian Wu
Xinyin Xu
Jinjin Zheng
Chuangyin Dang
author_sort Chuan Li
title Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
title_short Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
title_full Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
title_fullStr Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
title_full_unstemmed Stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
title_sort stabilization computation for a kind of uncertain switched systems using non-fragile sliding mode observer method
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8140
publishDate 2018-12-01
description A non-fragile sliding mode control problem will be investigated in this article. The problem focuses on a kind of uncertain switched singular time-delay systems in which the state is not available. First, according to the designed non-fragile observer, we will construct an integral-type sliding surface, in which the estimated unmeasured state is used. Second, we synthesize a sliding mode controller. The reachability of the specified sliding surface could be proved by this sliding mode controller in a finite time. Moreover, linear matrix inequality conditions will be developed to check the exponential admissibility of the sliding mode dynamics. After that, the gain matrices designed will be given along with it. Finally, some numerical result will be provided, and the result can be used to prove the effectiveness of the method.
url https://doi.org/10.1177/1687814018819585
work_keys_str_mv AT chuanli stabilizationcomputationforakindofuncertainswitchedsystemsusingnonfragileslidingmodeobservermethod
AT zhengtianwu stabilizationcomputationforakindofuncertainswitchedsystemsusingnonfragileslidingmodeobservermethod
AT xinyinxu stabilizationcomputationforakindofuncertainswitchedsystemsusingnonfragileslidingmodeobservermethod
AT jinjinzheng stabilizationcomputationforakindofuncertainswitchedsystemsusingnonfragileslidingmodeobservermethod
AT chuangyindang stabilizationcomputationforakindofuncertainswitchedsystemsusingnonfragileslidingmodeobservermethod
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