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Closed-loop time-domain model validation in the nu-gap metric. .

Steele J.H. and Vinnicombe G.,

Proceedings of Conference on Decision and Control, December 2001

Abstract

We consider experimental (in)validation of a nominal discrete-time model by determining if observed input/output data is consistent with a system within a given nu-gap distance from the model (in light of given constraints on possible input and output noise). The general problem has been shown to be NP-hard; however we present linear matrix inequality (LMI) sufficient conditions for model consistency along with LMI necessary and sufficient conditions for invalidation with respect to a special class of input/output noise. A logical extension which considers time-varying perturbations of the nominal model is presented in parallel with the time-invariant nu-gap results.

BibTex Entry

@InProceedings{,
author = {Steele J.H. and Vinnicombe G.,},
title = {Closed-loop time-domain model validation in the nu-gap metric. . },
address = {Orlando USA},
booktitle = {Proceedings of Conference on Decision and Control},
month = {December},
year = {2001}
}