Robust Stability Analysis of Linear Systems with Time-Varying Delays

Authors:	Kao Chung-Yao, University of Melbourne, Australia Rantzer Anders, Lund Institute of Technology, Sweden
Topic:	2.5 Robust Control
Session:	Robustness Analysis with IQC's and LMI's
Keywords:	Time delay, Robust stability, Stability analysis, Linear system

Abstract

Robust stability of linear systems in presence of bounded uncertain time-varying time delays is studied. The time delay robustness 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 (KYP) lemma. Therefore, checking the criterion can be done efficiently by using various SDP solvers.