Open AccessStability of an improved dynamic quantised system with time‐varying delay and packet losses
Author(s) -
Li Mu,
Sun Jian,
Dou Lihua
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.2013.1052
Subject(s) - control theory (sociology) , stability (learning theory) , network packet , upper and lower bounds , exponential stability , mathematics , computer science , elmore delay , stability criterion , propagation delay , discrete time and continuous time , nonlinear system , statistics , physics , control (management) , mathematical analysis , computer network , machine learning , artificial intelligence , delay calculation , quantum mechanics
The stability problem of a linear dynamic quantised system with time‐varying delay and packet losses is studied in this article. An optimal dynamic quantiser which is able to minimise the maximum output error between the quantised system and unquantised systems is designed, and the minimum upper bound of the quantised error is also given. Moreover, the system is lifted into a switched system for stability analysis and a sufficient condition for asymptotic stability is developed in terms of matrix inequalities. Finally, an illustrative example demonstrates the effectiveness of the proposed method.