H∞-synthesis and control of uncertain fractional-order systems of commensurate type

被引：1
|
作者：
Ibrir, Salim [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Elect Engn Dept, Al Dhahran 31261, Saudi Arabia
来源：
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词：
Fractional uncertain systems; H-infinity control; Stability and stabilizability; Static-output feedback; ROBUST-CONTROL; SUFFICIENT CONDITIONS; STABILIZATION;
D O I：
10.1016/j.ifacol.2020.12.2045
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 Linear-Matrix-Inequality (LMI) conditions are proposed for H(infinity )analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H infinity LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H(infinity )performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well. Copyright (C) 2020 The Authors.
引用
收藏
页码：3638 / 3643
页数：6
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