H∞ Dynamic Output Feedback Controller Design For Disturbed Fractional-Order Systems

被引：4
作者：
Boukal, Y. [1 ,2 ]
Zasadzinski, M. [1 ]
Darouach, M. [1 ]
Radhy, N. E. [2 ]
机构：
[1] Univ Lorraine, CRAN, CNRS, IUT Longwy,UMR 7039, 186 Rue Lorraine, F-54400 Cosnes Et Romain, France
[2] Univ Hassan 2, Fac Sci Ain Chock, LPMMAT, BP 5366 Maarif, Casablanca 20100, Morocco
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词：
Fractional-order system; H-infinity control; Dynamic output feedback; Linear Matrix Inequality (LMI); H-infinity-norm computation;
D O I：
10.1016/j.ifacol.2017.08.2059
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, the synthesis of a full order dynamic output feedback controller (DOFC) for Fractional-Order Systems with a derivative order 1 < alpha < 2 under norm-bounded disturbances is investigated. The designed DOFC must ensure the internal stability of the closed loop system and satisfy a disturbance rejection criterion which quantifies the disturbances effect on the desired output. This kind of problems is referred as H-infinity control. The existence conditions and design of DFOS are given. An LMI-based minimization problem is derived based on the H-infinity-norm computation for fractional order systems. Finally, simulation results are presented to illustrate the performance of the proposed methodology. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：9724 / 9729
页数：6
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