Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
384378 | Expert Systems with Applications | 2012 | 5 Pages |
The paper addresses the problem of an aggregation of knowledge obtained from many sets of experiments each with different confidence level during identification of a linear dynamical system with uncertain parameters. The proposed approach describes the parameter space by a multidimensional fuzzy set specified by non-symmetric ellipsoidal α-cuts. An algorithm for determination of minimum confidence level guaranteeing stability of such a system is presented.
► We determine stability margin of a linear system with uncertain parameters. ► The uncertain parameters are modelled by a multidimensional fuzzy set. ► A knowledge obtained from many sets of experiments can be aggregated. ► A frequency domain approach is used to derive a computationally simple result.