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Title: On Validating Closed-Loop Behaviour from Noisy Frequency-Response Measurements
Authors: Date, P
Cantoni, M
Keywords: ν-gap metric;Robust performance;Closed-loop validation
Issue Date: 2005
Publisher: Elsevier Science
Citation: Systems and Control Letters, 54: 607-612, Dec 2005
Abstract: It is shown how noisy closed-loop frequency-response measurements can be used to obtain pointwise in frequency bounds on the possible difference between the actual closed-loop system and the closed-loop comprising a nominal model of the plant and the stabilising controller. To this end, Vinnicombe's gap metric framework for robustness analysis plays a central role. Indeed, an optimisation problem and corresponding algorithm are proposed for estimating the chordal distance between the frequency responses of the nominal plant model and a plant that is consistent with the closed-loop data and a priori information, when projected onto the Riemann sphere.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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