Open AccessA novel approach to control synthesis of positive switched systems
Author(s) -
Zhang Junfeng,
Zhang Ridong,
Cai Xiushan,
Jia Xianglei
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.2017.0811
Subject(s) - control theory (sociology) , computer science , state (computer science) , discrete time and continuous time , controller (irrigation) , linear system , control (management) , lyapunov function , mathematics , control engineering , engineering , algorithm , nonlinear system , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , agronomy , biology
This study addresses the control synthesis of positive switched systems in both continuous‐ and discrete‐time contexts. First, a novel design approach to the state‐feedback controller of continuous‐time positive switched systems without time delay is presented by virtue of multiple linear copositive Lyapunov functions associated with linear programming. Then, the design approach is extended to discrete‐time positive switched systems. It is shown that the presented approach is less conservative than existing ones through comparisons. Furthermore, the approach is developed to the stabilisation of positive switched systems with time delay. Some discussions on the presented approach are provided to show potential applications in corresponding control issues of positive switched systems. Finally, two examples are given to illustrate the theoretical findings.