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

Abstract EN

This paper is concerned with the problem of designing disturbance observer for fractional order systems, ofwhich the disturbance is in time series expansion.

The stability of a special observer with the selected nonlinear weightedfunction and transient dynamics function is rigorously analyzed for slowly varying disturbance.

In addition, the result isalso extended to estimate slope forms disturbance and higher order disturbance of fractional order systems.

The efficacyof the proposed method is validated through numerical examples.