Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
- Resource Type
- article
- Authors
- Yiheng Wei; Hamid Reza Karimi; Jinwen Pan; Qing Gao; Yong Wang
- Source
- Abstract and Applied Analysis, Vol 2014 (2014)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1085-3375
1687-0409
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.