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

页码：3638 / 3643

页数：6

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