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Output feedback stabilization of type 2 fuzzy singular fractional-order systems with mismatched membership functions

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Abstract

This paper studies the control problem of continuous interval type 2 fuzzy singular fractional-order systems with order \(0<\alpha <1.\) A dynamic output feedback control strategy is proposed to solve it. The advantages of our approach with respect to the existing results are threefold. First, the control design allows mismatched membership functions between the controller and the plant, thus enhancing its universality. Second, some specific assumptions on the system matrix are removed, hence improving the generality of our approach. Third, for ease of calculation of the controller gains, the equivalent transformation method and the linear matrix inequality technique are adopted, instead of iterative algorithms or singular value decomposition technique. The simulation results are given to show the effectiveness and the superiority of the proposed approach.

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Funding

This work was supported by the National Key Research and Development Project under Grant 2020YFB1710003 and the Natural Science Foundation of China under Grant U20A20189.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, Liaoning, China

    Kaijing Jin

  2. College of Sciences, Northeastern University, Shenyang, 110819, Liaoning, China

    Xuefeng Zhang

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  1. Kaijing Jin
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  2. Xuefeng Zhang
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Contributions

KJ and XZ conceived the problem statement and the formulation presented in the paper. The literature survey has been carried out by XZ. The simulation have been conducted by KJ. The manuscript preparation, data collection and other research facilities essential to carry out the work are provided by KJ and XZ.

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Correspondence to Xuefeng Zhang.

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Jin, K., Zhang, X. Output feedback stabilization of type 2 fuzzy singular fractional-order systems with mismatched membership functions. Soft Comput 27, 4917–4929 (2023). https://doi.org/10.1007/s00500-022-07553-3

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