Open AccessFurther results on stability and stabilisation of switched positive systems
Author(s) -
Zhang Junfeng,
Huang Jun,
Zhao Xudong
Publication year - 2015
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.2014.1344
Subject(s) - control theory (sociology) , positive systems , rank (graph theory) , controller (irrigation) , stability (learning theory) , mathematics , dual (grammatical number) , property (philosophy) , basis (linear algebra) , discrete time and continuous time , linear system , computer science , control (management) , mathematical analysis , statistics , artificial intelligence , art , agronomy , philosophy , geometry , literature , epistemology , combinatorics , biology , machine learning
This study is concerned with stability and stabilisation of switched positive systems in both continuous‐ and discrete‐time contexts. Several criteria of Metzler/Hurwitz and non‐negative/Schur matrices are presented. By using these criteria and dual system theory, a sufficient condition for stability of switched positive systems is established. On the basis of the sufficient condition, a new controller design is proposed for switched positive systems. It is shown that the proposed design reduces the conservatism of the existing approaches in the literature where the controller gain matrices always have the property of being rank one. The results are also extended to discrete‐time systems. Finally, two illustrative examples verify the validity of the theoretical findings.