Necessary and sufficient conditions for normalization and sliding mode control of singular fractional-order systems with uncertainties

被引：0
|
作者：
Bo MENG [1 ]
Xinhe WANG [1 ]
Ziye ZHANG [1 ]
Zhen WANG [1 ]
机构：
[1] College of Mathematics and Systems Science,Shandong University of Science and Technology
来源：
Science China(Information Sciences) | 2020年 / 63卷 / 05期
基金：
中国国家自然科学基金;
关键词：
sliding mode control; normalization; fractional-order positive definite matrix; singular fractional-order systems; uncertainties;
D O I：
暂无
中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要：
The sliding mode control(SMC) problem for a normalized singular fractional-order system(SFOS) with matched uncertainties was investigated. Firstly, SFOS was normalized under constrained conditions. Then, the linear sliding mode(SM) function was designed using a fractional-order(FO) positive definite matrix and a linear matrix inequality(LMI). The SM controller was subsequently constructed based on switching laws. Finally, the feasibility of the method was evaluated using a numerical example.
引用
收藏
页码：187 / 196
页数：10
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