Title
Robust Control And Stability Bound Analysis For A Class Of Lti Fractional Order Uncertain Systems With 0 < Alpha < 1
Abstract
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.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2943481
IEEE ACCESS
Keywords
DocType
Volume
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, www, w3, org, 1998, Math, MathML" xmlns:xlink="http, www, w3, org, 1999, xlink" xmlns:xsi="http, www, w3, org, 2001, XMLSchema-instance"> H <, italic >-infinity bounded uncertainty, maximal bound, poly-topic uncertainty, stabilization
Journal
7
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Sulan Li151.08
Yunru Zhu2484.21
Jianwei Mi300.34