Paper Info
Title
Robust Passivity And Feedback Passification Of A Class Of Uncertain Fractional-Order Linear Systems
Abstract
Theoretical results on robust passivity and feedback passification of a class of uncertain fractional-order (FO) linear systems are presented in the paper. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and controlled output matrices. Firstly, some suitable notions of passivity and dissipativity for FO systems are proposed, and the relationship between passivity and stability is obtained. Then, a sufficient condition in the form of linear matrix inequality (LMI) for such system to be robustly passive is given. Based on this condition, the design method of state feedback controller is proposed when the states are available. Moreover, by using matrix singular value decomposition and LMI techniques, the existing condition and method of designing a robust observer-based passive controller for such systems are derived. Numerical simulations demonstrate the effectiveness of the theoretical formulation.
Year
DOI
Venue
2019
10.1080/00207721.2019.1597940
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
Fractional-order systems, passification, passivity, uncertain
Passivity,Singular value decomposition,Control theory,Linear system,Control theory,Matrix (mathematics),Full state feedback,Observer (quantum physics),Mathematics,Linear matrix inequality
Journal
Volume
Issue
ISSN
50
6
0020-7721
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Liping Chen1363.59
Tingting Li22814.49
Yangquan Chen32257242.16
Ranchao Wu4524.55
Suoliang Ge500.68