Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10399078 | Automatica | 2005 | 14 Pages |
Abstract
In this paper we consider the problem of constructing confidence regions for the parameters of identified models of dynamical systems. Taking a major departure from the previous literature on the subject, we introduce a new approach called 'Leave-out Sign-dominant Correlation Regions' (LSCR) which delivers confidence regions with guaranteed probability. All results hold rigorously true for any finite number of data points and no asymptotic theory is involved. Moreover, prior knowledge on the noise affecting the data is reduced to a minimum. The approach is illustrated on several simulation examples, showing that it delivers practically useful confidence sets with guaranteed probabilities.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
M.C. Campi, E. Weyer,