6533b827fe1ef96bd1287356

RESEARCH PRODUCT

Observation of a class of disturbance in time series expansion for fractional order systems

Yiheng WeiHamid Reza KarimiJinwen PenYong Wang

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411

description

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/874943 Open Access 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.

10.1155/2014/874943http://hdl.handle.net/11250/273612