Second-order predefined-time sliding-mode control of fractional-order systems

被引：17
|
作者：
Munoz-Vazquez, Aldo Jonathan [1 ]
Sanchez-Torres, Juan Diego [2 ]
Defoort, Michael [3 ]
机构：
[1] Texas A&M Univ, Sch Engn, 6200 Tres Lagos Blvd, Mcallen, TX 78504 USA
[2] ITESO, Dept Math & Phys, OPTIMA, Res Lab Optimal Design Devices & Adv Mat, Tlaquepaque, Jalisco, Mexico
[3] Univ Polytech Hauts De France, CNRS, LAMIH, UMR 8201, Valenciennes, France
来源：
ASIAN JOURNAL OF CONTROL | 2022年 / 24卷 / 01期
关键词：
finite-time stability; fixed-time stability; fractional-order systems; predefined-time stability; second-order sliding-mode control; SYNCHRONIZATION; STABILITY; SIGNALS;
D O I：
10.1002/asjc.2447
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a predefined-time control of fractional-order linear system subject to a large class of continuous but not necessarily integer-order differentiable disturbances. The dynamical system is based on the Caputo derivative and has an order that lies in (1,2). The proposed controller, based on a dynamic extension, induces an integer-order reaching phase, such that an invariant second-order sliding mode is enforced in predefined-time, that is, the solution of the fractional-order system and its integer-order derivative converge to the origin within a time that is prescribed as a tunable control parameter. The controller is continuous and able to compensate for unknown continuous disturbances. A simulation study is carried out in order to show the effectiveness of the proposed scheme.
引用
收藏
页码：74 / 82
页数：9
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