Dynamic observer-based control for fractional-order uncertain linear systems

被引：5
作者：
Li, He [1 ]
Yang, Guang-Hong [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[2] Northeastern Univ, State Key Lab Integrated Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Fractional-order systems; dynamic observer; linear matrix inequalities; ROBUST-CONTROL; FEEDBACK CONTROL; STABILITY; STABILIZATION; LMIS; H-2;
D O I：
10.1080/00207721.2018.1562131
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 addresses the problem of dynamic observer-based control for fractional-order linear uncertain systems. By constructing a new linearising change of variables, the conditions for designing the observer and controller gains are obtained in terms of solutions to a set of linear matrix inequalities (LMIs) even in the presence of uncertainties in system, input and output matrices simultaneously. Meanwhile, owing to having additional degrees of freedom in the designed observer structure, the proposed methods have no equality constraint, which is needed by using Luenberger-type observer. Numerical examples are given to illustrate the benefits and the effectiveness of the proposed method.
引用
收藏
页码：1107 / 1120
页数：14
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