New sufficient conditions for observer-based control of fractional-order uncertain systems

被引：73
|
作者：
Ibrir, Salim [1 ]
Bettayeb, Maamar [2 ,3 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Elect Engn, Dhahran 31261, Saudi Arabia
[2] Univ Sharjah, Dept Elect & Comp Engn, Univ City, Sharjah, U Arab Emirates
[3] King Abdulaziz Univ, Coll Engn, Jeddah 21413, Saudi Arabia
来源：
AUTOMATICA | 2015年 / 59卷
关键词：
Fractional-order systems; Observer-based control; Convex-optimizations; Linear Matrix Inequalities (LMIs); LINEAR-SYSTEMS; ROBUST-CONTROL; STABILITY;
D O I：
10.1016/j.automatica.2015.06.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
New simple linear matrix inequalities are proposed to ensure the stability of a class of uncertain fractional-order linear systems by means of a fractional-order deterministic observer. It is shown that the conditions of existence of an observer-based feedback can be split into a set of linear matrix inequalities that are numerically tractable. The presented results show that it is possible to decouple the conditions containing the bilinear variables into separate conditions without imposing equality constraints or considering an iterative search of the controller and the observer gains. Simulations results are given to approve the efficiency and the straightforwardness of the proposed design. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：216 / 223
页数：8
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