Robust Control and Stability Bound Analysis for a Class of LTI Fractional Order Uncertain Systems With 0 < α < 1

被引：1
作者：
Li, Sulan [1 ,2 ]
Zhu, Yunru [1 ,3 ]
Mi, Jianwei [1 ,2 ]
机构：
[1] Xidian Univ, Key Lab Elect Equipment Struct Design, Minist Educ, Xian 710071, Shaanxi, Peoples R China
[2] Xidian Univ, Shaanxi Key Lab Space Solar Power Stn Syst, Xian 710071, Shaanxi, Peoples R China
[3] Xidian Univ, Sch Mechanoelect Engn, Ctr Complex Syst, Xian 710071, Shaanxi, Peoples R China
来源：
IEEE ACCESS | 2019年 / 7卷
关键词：
Uncertainty; Stability analysis; Numerical stability; H infinity control; Robust stability; Symmetric matrices; Sufficient conditions; Fractional order system (FOS); < italic xmlns:ali="http; www; niso; org; schemas; ali; 1; 0; xmlns:mml="http; w3; 1998; Math; MathML" xmlns:xlink="http; 1999; xlink" xmlns:xsi="http; 2001; XMLSchema-instance"> H <; italic >-infinity bounded uncertainty; maximal bound; poly-topic uncertainty; stabilization; STABILIZATION; STABILIZABILITY;
D O I：
10.1109/ACCESS.2019.2943481
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 concentrates on the robust control and maximal bound analysis of uncertainty for the LTI fractional order system (FOS), which is subjected to poly-topic and H-infinity bounded uncertainties with 0 < alpha < 1. Firstly, two problems including robust stability analysis and stabilization are investigated. Subsequently, the method of how to determine the maximal uncertainty bound of such system is discussed, and the corresponding linear state feedback stabilizing controller is obtained together. The conditions in terms of linear matrix inequalities (LMI) for these problems mentioned above are concluded as four theorems. Finally, the advantage of the proposed methods is illustrated by two numerical examples.
引用
收藏
页码：140723 / 140733
页数：11
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