Observer-based robust control of (0 < α < 1) fractional-order linear uncertain control systems

被引:26
作者
Li, Bingxin [1 ]
Zhang, Xuefeng [1 ]
机构
[1] Northeastern Univ, Sch Sci, Shenyang 110004, Peoples R China
关键词
observers; robust control; linear systems; uncertain systems; linear matrix inequalities; singular value decomposition; observer-based robust control; (0< < 1) fractional-order linear uncertain control systems; stabilisation problems; FOL uncertain system; linear matrix inequality; stability problems; quadratic stability; TIME-INVARIANT-SYSTEMS; H-INFINITY-CONTROL; STABILITY;
D O I
10.1049/iet-cta.2015.0453
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Stability and stabilisation problems for fractional-order linear (FOL) uncertain systems with fractional order alpha (0 < alpha < 1) are difficult and interesting. This study focuses on observer-based robust control for FOL uncertain system with fractional order 0 < alpha < 1. Recently, a new method based on linear matrix inequality is presented to solve the stability and stabilisation problems of FOL systems with fractional order 0 < alpha < 1. Based on the new method and the matrix's singular value decomposition, a necessary and sufficient condition for quadratic stability of observer- based FOL uncertain systems is presented in this study. Finally, two examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:1724 / 1731
页数:8
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