Open AccessStatic and dynamic output feedback stabilisation of descriptor fractional order systems
Author(s) -
Zhang Xuefeng,
Zhao Zeli,
Wang Qingguo
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0694
Subject(s) - control theory (sociology) , output feedback , singular value decomposition , mathematics , fractional calculus , value (mathematics) , fractional order system , order (exchange) , feedback control , control (management) , computer science , algorithm , control engineering , artificial intelligence , engineering , statistics , finance , economics
In this study, output feedback control is utilised to stabilise descriptor fractional order systems (FOS) with the fractional order α belonging to [ 1 , 2 ) and ( 0 , 1 ) , respectively. Firstly, by the restricted equivalent transformations, a new necessary and sufficient condition of admissibility for descriptor FOS with 1 ≤ α < 2 is presented. Then, based on the methods of singular value decomposition, static and dynamic output feedback stabilisers of descriptor FOS with 1 ≤ α < 2 and 0 < α < 1 are obtained, respectively. Finally, four numerical examples are provided to verify the effectiveness of the proposed approaches.