H∞ analysis and control of commensurate fractional order systems

被引：63
|
作者：
Farges, Christophe [1 ]
Fadiga, Lamine [1 ]
Sabatier, Jocelyn [1 ]
机构：
[1] Univ Bordeaux 1, IMS Lab, CRONE Team, CNRS,UMR 5218, F-33405 Talence, France
来源：
MECHATRONICS | 2013年 / 23卷 / 07期
关键词：
Fractional order systems; H-infinity norm; State feedback control; Linear Matrix Inequalities (LMIs); Kalman-Yakubovic-Popov; IDENTIFICATION; DESIGN; STATE; MODEL;
D O I：
10.1016/j.mechatronics.2013.06.005
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 the H-infinity control of commensurate Fractional Order Systems (FOS). Along the lines of recent work on H-infinity norm computation for FOS, new extensions of the L-infinity and H-infinity. bounded real lemmas to FOS are given after stating the differences between those two norms. An H-infinity. state feedback control method based on the corresponding bounded real lemma is then proposed. The efficiency of this method is evaluated on numerical examples. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：772 / 780
页数：9
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