Open AccessImproved estimation on transmission intervals and delays for networked control systems using hybrid systems tools
Author(s) -
He Yan,
Sun XiMing,
Xia Weiguo
Publication year - 2019
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.2018.5571
Subject(s) - control theory (sociology) , lyapunov function , hybrid system , transmission (telecommunications) , exponential stability , control system , interval (graph theory) , networked control system , stability (learning theory) , computer science , transmission system , mathematics , function (biology) , mathematical optimization , control (management) , engineering , nonlinear system , machine learning , telecommunications , physics , quantum mechanics , artificial intelligence , combinatorics , evolutionary biology , electrical engineering , biology
The work studies the stability problem of networked control systems (NCSs) exposed to various imperfections, including scheduling protocols, transmission intervals, and delays by using hybrid systems tools. First of all, the above‐mentioned NCSs are converted into hybrid control systems. Then under a weaker assumption, the authors construct a novel Lyapunov function to derive a less conservative sufficient condition for the uniform global asymptotic stability of the systems. Furthermore, they derive useful upper bounds for the maximum allowable transmission interval and maximum allowable delay, which significantly improve the existing results. Finally, some examples are presented to illustrate the effectiveness of the proposed theorem.