On Sliding Mode Control for Singular Fractional-Order Systems with Matched External Disturbances

被引：4
|
作者：
Song, Shubin [1 ]
Meng, Bo [1 ]
Wang, Zhen [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期
关键词：
singular fractional-order systems; sliding mode control; normalization; stability; admissibility; STABILIZATION; SUFFICIENT; DESIGN;
D O I：
10.3390/fractalfract6070366
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the problem of sliding mode control for singular fractional-order systems that have matched uncertainties. We design an innovative integral sliding mode function and controller based on the normalizable condition. A strict linear matrix inequality-based sufficient condition is obtained for the system's stability. The normalizable condition is eliminated by updating and developing the control method, and a sufficient and necessary condition is developed for the admissibility of the system. Lastly, verification of our method's effectiveness is numerically conducted in two instances.
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页数：11
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