Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems

Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems

This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system....

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Main Authors: Leipo Liu, Xiaona Song, Zhumu Fu, Shuzhong Song
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/7202584
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spelling doaj-25adb0e0f9c048db9a958da6ef9329402020-11-24T21:37:20ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/72025847202584Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear SystemsLeipo Liu0Xiaona Song1Zhumu Fu2Shuzhong Song3College of Information Engineering, Post-Doctor Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaCollege of Information Engineering, Post-Doctor Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaCollege of Information Engineering, Post-Doctor Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaCollege of Information Engineering, Post-Doctor Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaThis paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained. Such conditions can be converted into linear matrix inequalities (LMIs). Finally, two examples are given to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2017/7202584
collection DOAJ
language English
format Article
sources DOAJ
author Leipo Liu
Xiaona Song
Zhumu Fu
Shuzhong Song
spellingShingle Leipo Liu
Xiaona Song
Zhumu Fu
Shuzhong Song
Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
Mathematical Problems in Engineering
author_facet Leipo Liu
Xiaona Song
Zhumu Fu
Shuzhong Song
author_sort Leipo Liu
title Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
title_short Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
title_full Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
title_fullStr Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
title_full_unstemmed Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems
title_sort disturbance observer-based input-output finite-time control of a class of nonlinear systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained. Such conditions can be converted into linear matrix inequalities (LMIs). Finally, two examples are given to show the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2017/7202584
work_keys_str_mv AT leipoliu disturbanceobserverbasedinputoutputfinitetimecontrolofaclassofnonlinearsystems
AT xiaonasong disturbanceobserverbasedinputoutputfinitetimecontrolofaclassofnonlinearsystems
AT zhumufu disturbanceobserverbasedinputoutputfinitetimecontrolofaclassofnonlinearsystems
AT shuzhongsong disturbanceobserverbasedinputoutputfinitetimecontrolofaclassofnonlinearsystems
_version_ 1725936962115731456

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