Open AccessRobust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal
Author(s) -
Jenq-Der Chen,
I-Chin Wu,
ChangHua Lien,
Chin-Tan Lee,
RueyShin Chen,
KerWei Yu
Publication year - 2014
Publication title -
journal of applied research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 30
ISSN - 1665-6423
DOI - 10.1016/s1665-6423(14)71677-3
Subject(s) - control theory (sociology) , interval (graph theory) , mathematics , exponential stability , linear matrix inequality , discrete time and continuous time , stability (learning theory) , signal (programming language) , exponential function , computer science , mathematical optimization , nonlinear system , mathematical analysis , statistics , physics , control (management) , combinatorics , artificial intelligence , quantum mechanics , machine learning , programming language
AbstractThis paper deals with the switching signal design to robust exponential stability for uncertain discrete-time switched systems with interval time-varying delay. The lower and upper bounds of the time-varying delay are assumed to be known. By construction of a new Lyapunov-Krasovskii functional and employing linear matrix inequality, some novel sufficient conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. In addition, some nonnegative inequalities are used to provide additional degrees of freedom and reduce the conservativeness of systems. Finally, some numerical examples are given to illustrate performance of the proposed design methods