Open AccessCriteria for robust finite‐time stabilisation of linear singular systems with interval time‐varying delay
Author(s) -
Muoi Nguyen H.,
Phat Vu N.,
Niamsup Piyapong
Publication year - 2017
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.2017.0048
Subject(s) - control theory (sociology) , interval (graph theory) , mathematics , computer science , control (management) , artificial intelligence , combinatorics
Finite‐time stabilisation involves finding state feedback controllers which stabilise the closed‐loop system in a finite‐time interval. This paper deals with robust finite‐time stabilisation of linear singular systems with interval time‐varying delay. Based on singular value decomposition method and a generalised Jensen inequality, we provide sufficient conditions for the design of such controllers guaranteeing the finite‐time stability of the closed‐loop system. The proposed conditions are expressed in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed methods.