Backstepping control for fractional discrete-time systems

Yu Yao and Li-Bing Wu

Applied Mathematics and Computation, 2022, vol. 434, issue C

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.

Keywords: Fractional difference; Lyapunov function; Backstepping control; Strict-feedback discrete-time systems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005240

DOI: 10.1016/j.amc.2022.127450

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