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A two-stage parameter bounding procedure for Hammerstein models with bounded output errors

V. Cerone, D. Regruto

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Abstract

In this paper we present a two-stage procedure for deriving parameters bounds in Hammerstein models when the output measurement errors are bounded. First, using steady-state input-output data, parameters of the nonlinear part are tightly bounded. Then, for a given input transient sequence we evaluate tight bounds on the unmeasurable inner signal together with noisy output measurements are used for bounding the parameters of the linear dynamic block.

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In this paper we present a two-stage procedure for deriving parameters bounds in Hammerstein models when the output measurement errors are bounded. First, using steady-state input-output data, parameters of the nonlinear part are tightly bounded. Then, for a given input transient sequence we evaluate tight bounds on the unmeasurable inner signal together with noisy output measurements are used for bounding the parameters of the linear dynamic block.

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Available abstract

In this paper we present a two-stage procedure for deriving parameters bounds in Hammerstein models when the output measurement errors are bounded. First, using steady-state input-output data, parameters of the nonlinear part are tightly bounded. Then, for a given input transient sequence we evaluate tight bounds on the unmeasurable inner signal together with noisy output measurements are used for bounding the parameters of the linear dynamic block.

Key concepts: Bounded function, Bounding overwatch, Nonlinear system, Control theory (sociology), Sequence (biology), Transient (computer programming), SIGNAL (programming language), Mathematics

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