Open AccessDecomposition and robust non‐fragile stabilisation of singular time‐delay systems
Author(s) -
Zahedi Fatemeh,
Haeri Mohammad
Publication year - 2018
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.2017.1150
Subject(s) - control theory (sociology) , decomposition , robust control , computer science , mathematics , control system , control (management) , engineering , artificial intelligence , chemistry , electrical engineering , organic chemistry
This study presents a new approach to decompose singular time‐delay systems (STDSs) in a way that they can be transformable to normal time‐delay systems (TDSs) with a lower order. Necessary and sufficient conditions are provided to determine which STDSs can be transformed to TDSs. Also, a stabilisation method is provided to stabilise the system, while the time delay in the system can belong to several distinct intervals or even everywhere. The proposed method is non‐fragile towards controller parameters. This method also reveals one of the many applicable situations of the proposed decomposition. The effectiveness of the proposed method is illustrated through some examples.