Stability analysis of systems with uncertain time-varying delays

Stability in presence of bounded uncertain time-varying delays in the feedback loop of a system is studied. The delay parameter is assumed to be an unknown time-varying function for which the upper bound on the magnitude and the variation are given. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. Criteria for verifying robust stability are formulated as feasibility problems over a set of frequency dependent linear matrix inequalities. The criteria can be equivalently formulated as Semi-Definite Programs (SDP) using Kalman-Yakubovich-Popov lemma. Therefore, checking robust stability can be performed in a computationally efficient fashion. Key words: time-varying delay, robust stability analysis, integral quadratic constraint.

• Type: Journal
• Year: 2007
• Where: AUTOMATICA
• Authors: Chung-Yao Kao, Anders Rantzer
• Keywords: AUTOMATICA 2007, Robust Stability, Time-varying Delay, Uncertain Time-varying Delays