Identification of parametric models in the frequency-domain through the subspace framework under LMI constraints

An extension of standard subspace-based algo-rithms to identify parametric systems from frequency response samples is presented. This algorithm uses arbitrary frequency spacing and allows frequency weighting. It offers the possibility to impose the model's poles location through LMI constraints. This technique is applied to a numerical example and to real industrial frequency-domain data originating from an open- channel flow for hydroelectricity production.