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A hard error bound approach for quantification of model uncertainty in transfer function estimation

In this paper we address the problem of deriving hard error bounds for estimated transfer functions in a form suitable for robust control design. Our approach is to consider the noise and effect of undermodeling as bounded disturbances and to apply a set membership description of uncertainty. The ma...

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Bibliographic Details
Main Authors: Zolghadri, A., Lapeyre, F., Monsion, M., Ygorra, S.
Format: Conference Proceeding
Language:English
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Summary:In this paper we address the problem of deriving hard error bounds for estimated transfer functions in a form suitable for robust control design. Our approach is to consider the noise and effect of undermodeling as bounded disturbances and to apply a set membership description of uncertainty. The main assumptions are a priori information consisting of a time domain bound on the noise and information about the decay rate of the system impulse response. A procedure is presented to derive regions in the Nyquist plane which contain the true systems Nyquist plot.< >
DOI:10.1109/CDC.1994.411554