New unbiased H infinity functional filters designs for discrete-time linear systems: Time and frequency domains approaches

Purpose – The purpose of this paper is to propose solutions for both discrete‐time and frequency‐domain designs of unbiased H∞ functional filters for discrete‐time linear systems affected by bounded norm energy disturbances.Design/methodology/approach – The discrete‐time procedure design is based on the unbiasedness of the functional filter using a Sylvester equation; then the problem is expressed in a singular system one and is solved in terms of linear matrix inequalities (LMIs). The frequency procedure design is derived from discrete‐time domain results by defining some useful matrix fraction descriptions and mainly, establishing the useful and equivalent form of the connecting relationship that parameterizes the dynamics behavior between discrete‐time and z‐domain.Findings – The performance of the proposed approach is illustrated with the aid of a practical example. The proposed methods are easily implementable and concern a more general class of systems, as the transformation of the system in a singu...

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