Interval-based Robustness of Linear Parametrized Filters
Résumé
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.