Abstract

A new method for the model reduction of linear discrete stable systems in Z-transfer functions is presented. First, a set of parameters is defined, whose values uniquely determine the given system. Then an always stable reduced approximant is obtained by neglecting the parameters which do not contribute significantly in the formation of the system's responses. The proposed method slightly modified also preserves, in the reduced model, the rank of the given system. Formulae are provided to select the reduced order.

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