SCIENCE CHINA Information Sciences, Volume 61 , Issue 7 : 070222(2018) https://doi.org/10.1007/s11432-017-9368-x

Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach

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  • ReceivedSep 29, 2017
  • AcceptedJan 25, 2018
  • PublishedMay 24, 2018


This paper presents a disturbance rejection method that is based on the equivalent-input-disturbance approach for uncertain fractional-order (FO) systems. An FO observer is used to reconstruct the plant states and estimate the disturbances. A disturbance estimator is incorporated in the construction of the FO control system to actively compensate for the entire disturbance. A robust stability condition for the control system and the parameters of the controller are derived using an indirect Lyapunov method. The presented method effectively rejects disturbances and handles modeling uncertainties without requiring prior knowledge of the disturbance. Comparison simulations on both numerical and practical examples demonstrate the effectiveness of the proposed method.


This work was supported by National Natural Science Foundation of China (Grant Nos. 11626200, 61403149), Fujian Provincial Natural Science Foundation (Grant Nos. 2016J05165, 2015J01261), Promotion Program of Huaqiao University (Grant No. ZQN-PY408), Hubei Provincial Natural Science Foundation (Grant No. 2015CFA010), and 111 Project (Grant No. B17040).


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