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Interval-based Robustness of Linear Parametrized Filters

Abstract : This article deals with the resilient implementation of parametrized linear filters (or controllers), i.e. realizations that are robust with respect to their implementation with fixed-point arithmetic. The implementation of a linear filter/controller in an embedded device is a difficult task because the numerical version of such algorithms suff ers from a deterioration in performances and characteristics. This degradation has two separate origins, corresponding to the quantization of the embedded coefficients and the round-off occurring during the computations. The optimal realization problem is to find, for a given filter, the most resilient realization. We here consider linear filters that depends on a set of parameters that are not exactly known during the design. They are used for example in automotive control, where a very late re-tuning is required. The paper presents results on FWL resiliency analyzis using interval optimization methods [2], and compare them to those obtained with the sensitivity approach.
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Conference papers
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Contributor : Philippe Chevrel <>
Submitted on : Monday, June 11, 2012 - 4:26:36 PM
Last modification on : Tuesday, September 21, 2021 - 4:12:04 PM


  • HAL Id : hal-00706772, version 1


Alexandre Chapoutot, Thibault Hilaire, Philippe Chevrel. Interval-based Robustness of Linear Parametrized Filters. SCAN'12 - 15th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations, Sep 2012, Novosibirsk, Russia. CDROM. ⟨hal-00706772⟩



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