Sliding Mode Control for Uncertain Fractional-Order Systems with Time-Varying Delays

被引：3
|
作者：
Ren, Zhiguo [1 ]
Tong, Dongbing [1 ,2 ]
Chen, Qiaoyu [1 ]
Zhou, Wuneng [3 ]
机构：
[1] Shanghai Univ Engn Sci, Coll Elect & Elect Engn, Shanghai 201620, Peoples R China
[2] Guangxi City Vocat Univ, Coll Informat Engn, Nanning 532100, Guangxi, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2024年 / 43卷 / 06期
关键词：
Fractional order systems; Sliding mode control; Asymptotic stability; Time-varying delays; SYNCHRONIZATION; NETWORKS; NOISE;
D O I：
10.1007/s00034-024-02643-z
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This article investigates the asymptotic stability of fractional-order (FO) systems with uncertainty and time-varying delay based on the sliding mode control (SMC) method. First, based on the SMC method, a suitable integral type fractional-order sliding mode surface (FOSMS) is designed and the dynamic equations of FO systems under SMC are obtained. Second, by inequality techniques, the condition for asymptotic stability of the FO system has been mathematically established. Then, a novel adaptive SMC law is introduced, which can make sure the accessibility of sliding mode surfaces (SMS). Finally, the feasibility of the results obtained in this paper is verified through a simulation.
引用
收藏
页码：3979 / 3995
页数：17
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