Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems

Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems

This paper is concerned with the problem of designing disturbance observer for fractional order systems, of which the disturbance is in time series expansion. The stability of a special observer with the selected nonlinear weighted function and transient dynamics function is rigorously analyzed for...

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Main Authors: Yiheng Wei, Hamid Reza Karimi, Jinwen Pan, Qing Gao, Yong Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/874943
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spelling doaj-6de6137e502b46d2a1690b88b197e9c02020-11-24T22:55:11ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/874943874943Observation of a Class of Disturbance in Time Series Expansion for Fractional Order SystemsYiheng Wei0Hamid Reza Karimi1Jinwen Pan2Qing Gao3Yong Wang4Department of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaThis paper is concerned with the problem of designing disturbance observer for fractional order systems, of which the disturbance is in time series expansion. The stability of a special observer with the selected nonlinear weighted function and transient dynamics function is rigorously analyzed for slowly varying disturbance. In addition, the result is also extended to estimate slope forms disturbance and higher order disturbance of fractional order systems. The efficacy of the proposed method is validated through numerical examples.http://dx.doi.org/10.1155/2014/874943
collection DOAJ
language English
format Article
sources DOAJ
author Yiheng Wei
Hamid Reza Karimi
Jinwen Pan
Qing Gao
Yong Wang
spellingShingle Yiheng Wei
Hamid Reza Karimi
Jinwen Pan
Qing Gao
Yong Wang
Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
Abstract and Applied Analysis
author_facet Yiheng Wei
Hamid Reza Karimi
Jinwen Pan
Qing Gao
Yong Wang
author_sort Yiheng Wei
title Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
title_short Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
title_full Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
title_fullStr Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
title_full_unstemmed Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
title_sort observation of a class of disturbance in time series expansion for fractional order systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper is concerned with the problem of designing disturbance observer for fractional order systems, of which the disturbance is in time series expansion. The stability of a special observer with the selected nonlinear weighted function and transient dynamics function is rigorously analyzed for slowly varying disturbance. In addition, the result is also extended to estimate slope forms disturbance and higher order disturbance of fractional order systems. The efficacy of the proposed method is validated through numerical examples.
url http://dx.doi.org/10.1155/2014/874943
work_keys_str_mv AT yihengwei observationofaclassofdisturbanceintimeseriesexpansionforfractionalordersystems
AT hamidrezakarimi observationofaclassofdisturbanceintimeseriesexpansionforfractionalordersystems
AT jinwenpan observationofaclassofdisturbanceintimeseriesexpansionforfractionalordersystems
AT qinggao observationofaclassofdisturbanceintimeseriesexpansionforfractionalordersystems
AT yongwang observationofaclassofdisturbanceintimeseriesexpansionforfractionalordersystems
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