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

Author

Listed:
  • Yiheng Wei
  • Hamid Reza Karimi
  • Jinwen Pan
  • Qing Gao
  • Yong Wang

Abstract

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.

Suggested Citation

  • Yiheng Wei & Hamid Reza Karimi & Jinwen Pan & Qing Gao & Yong Wang, 2014. "Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:874943
    DOI: 10.1155/2014/874943
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    Cited by:

    1. Silva, Cristiana J. & Torres, Delfim F.M., 2019. "Stability of a fractional HIV/AIDS model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 180-190.

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