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...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/874943 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553608421310464 |
|---|---|
| author | Yiheng Wei Hamid Reza Karimi Jinwen Pan Qing Gao Yong Wang |
| author_facet | Yiheng Wei Hamid Reza Karimi Jinwen Pan Qing Gao Yong Wang |
| author_sort | Yiheng Wei |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-6de6137e502b46d2a1690b88b197e9c0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6de6137e502b46d2a1690b88b197e9c02025-02-03T05:53:41ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| 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 |