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Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems

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Abstract

The control of fractional-order (FO) delayed systems is important in real-world applications, but it is still a challenging task. This paper studies the output-feedback-guaranteed cost control of a class of FO uncertain linear systems with time delay. Norm-bounded and time-varying parameter uncertainties are considered. A new definition of guaranteed cost control of FO system is proposed. Additionally, static and dynamic output-feedback delay-independent guaranteed cost controllers are designed. Two numerical examples are presented showing the effectiveness of the proposed schemes.

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Acknowledgements

The authors would like to express their deep gratitude to the editors and the anonymous referees for their helpful comments and suggestions, which have greatly improved the paper. This work was supported by the National Natural Science Funds of China (No. 11971032) and the Fundamental Research Funds for the Central Universities (No. JZ2019HGTB0090).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, China

    Liping Chen & Tingting Li

  2. School of Mathematics, Anhui University, Hefei, 230601, China

    Ranchao Wu

  3. UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    António M. Lopes

  4. Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431, 4249-015, Porto, Portugal

    J. A. Tenreiro Machado

  5. Training Center of Anhui Provincial Electric Power Company, Hefei, 230000, China

    Kehan Wu

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  1. Liping Chen
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  2. Tingting Li
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  3. Ranchao Wu
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  4. António M. Lopes
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  5. J. A. Tenreiro Machado
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  6. Kehan Wu
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Correspondence to Liping Chen.

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Communicated by Luz de Teresa.

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Chen, L., Li, T., Wu, R. et al. Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems. Comp. Appl. Math. 39, 210 (2020). https://doi.org/10.1007/s40314-020-01247-y

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  • DOI: https://doi.org/10.1007/s40314-020-01247-y

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