Data-driven structured realization

We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form (C) over tilde(Sigma(K)(k=1) h(k)(s)(A) over tilde (k))(-1)(B) over tilde where h(1), h(2), ... , h(K) are prescribed functions that specify the surmised structure of the model. Our construction is data-driven in the sense that an interpolant is derived entirely from measurements of a transfer function. Our approach extends the Loewner realization framework to a more general system structure that includes second-order (and higher) systems as well as systems with internal delays. Numerical examples demonstrate the advantages of this approach. (C) 2017 Elsevier Inc. All rights reserved.