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Interval observers for linear functions of states and unknown inputs of nonlinear fractional-order systems with time delays

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Abstract

The main objective of this paper is to design interval observers using the output signals and the delayed output signals to estimate the state vector and unknown input vector of nonlinear fractional-order systems with time delay. We first propose and design two new functional observers, such that they bound the set of all admissible values of a linear function of the state vector and the unknown input vector at each instant of time. We then derive conditions for the existence of interval functional observers and provide an effective design algorithm for computing unknown observer matrices. Finally, an example is given to show the effectiveness of the proposed design approach.

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Acknowledgements

The authors would like to sincerely thank the anonymous reviewers for their constructive comments that helped to improve the quality and presentation of this paper. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED), under Grant 7237.

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Authors and Affiliations

  1. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Dinh Cong Huong

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Dinh Cong Huong

  3. Department of Sciences, Phu Yen University, Phu Yen, Vietnam

    Dao Thi Hai Yen

Authors
  1. Dinh Cong Huong
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  2. Dao Thi Hai Yen
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Correspondence to Dinh Cong Huong.

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Communicated by Agnieszka Malinowska.

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Huong, D.C., Yen, D.T.H. Interval observers for linear functions of states and unknown inputs of nonlinear fractional-order systems with time delays. Comp. Appl. Math. 39, 164 (2020). https://doi.org/10.1007/s40314-020-01190-y

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  • DOI: https://doi.org/10.1007/s40314-020-01190-y

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