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

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2 Author(s)
J. H. Steele ; Dept. of Eng., Cambridge Univ., UK ; G. Vinnicombe

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 ν-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 ν-gap results

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Decision and Control, 2001. Proceedings of the 40th IEEE Conference on  (Volume:5 )

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