Backstepping control for fractional discrete-time systems

被引：3

作者：

Yao, Yu ^{[1
]}

Wu, Li-Bing ^{[1
]}

机构：

[1] Univ Sci & Technol Liaoning, Sch Sci, Anshan 114051, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 434卷

关键词：

Fractional difference; Lyapunov function; Backstepping control; Strict-feedback discrete-time systems; ADAPTIVE-CONTROL; SYNCHRONIZATION; CALCULUS;

D O I：

10.1016/j.amc.2022.127450

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 vari-ables 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. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：11

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