Stability analysis of systems with uncertain time-varying delays

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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.
Chung-Yao Kao, Anders Rantzer
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2007
Authors Chung-Yao Kao, Anders Rantzer
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