Title :
Stability criteria for systems with bounded uncertain time-varying delay
Author :
Kao, Chung-Yao ; Rantzer, Anders
Author_Institution :
Department of Automatic Control, Lund Institute of Technology, 22100 Lund, Sweden
Abstract :
Stability in presence of bounded uncertain time-varying time delays in the feedback loop of a system is studied. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) using Kalman-Yakubovich-Popov lemma. Therefore, checking the criterion can be done efficiently by using various SDP solvers.
Keywords :
Asymptotic stability; Delay effects; Delays; Linear matrix inequalities; Stability criteria; Time-varying systems; Integral Quadratic Constraint (IQC); Linear Matrix Inequality (LMI); Robust stability; Time-varying delay;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
