A minimal realization method of the transfer functions containing variable parameter

摘要

In this paper, we propose a method for realizing the transfer functions containing variable parameter, by the state-space method. In this method, we perform, the statical feedback containing unknown quantities on the state-space realization form of separable-denominator variable transfer functions (VTF) containing unknown quantities, so that we realize the given VTF. By using this method, VTF can be often realized with a minimal dimension with respect to both of λ complex angular frequency S and the variable parameter λ. Moreover, in order to demonstrate the effectiveness of our realization method, we present an illustrative example.