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.
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页数：11
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