Modeling multi-port systems from frequency response data via tangential interpolation

System identification from frequency domain data arises in many areas, e.g., in control, electronics, mechanical and civil engineering and many other fields. Currently available techniques work well for the single input single output case. However, for the case of large numbers of inputs and outputs, present methods are expensive. This paper proposes a new approach which is based on the concept of tangential interpolation. Our approach allows the identification of the underlying system using small CPU times. The numerical results we present show that our algorithms yield more accurate models in less time, when compared to the column-wise implementation of vector fitting.