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Backstepping control for fractional discrete-time systems

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  • Yao, Yu
  • Wu, Li-Bing

Abstract

This paper presents a backstepping control for a class of single-input-single-output (SISO) strict-feedback fractional discrete-time systems for the first time. By tracking state variables in error functions, the stability criterion is used to design a controller such that the closed-loop system is stable. Finally, two simulation examples are demonstrated. By using different fractional order parameters, the fractional discrete-time system is stable and the effectiveness of the proposed controller is verified.

Suggested Citation

  • Yao, Yu & Wu, Li-Bing, 2022. "Backstepping control for fractional discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    • Handle: RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005240
    DOI: 10.1016/j.amc.2022.127450
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    References listed on IDEAS

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