English

Data-driven Structured Realization

Systems and Control 2018-01-30 v1 Numerical Analysis

Abstract

We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form C(k=1Khk(s)Ak)1BC(\sum_{k=1}^K h_k(s)A_k)^{-1}B where h1,h2,,hKh_1,h_2,\ldots,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 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.

Keywords

Cite

@article{arxiv.1611.02072,
  title  = {Data-driven Structured Realization},
  author = {Philipp Schulze and Benjamin Unger and Christopher Beattie and Serkan Gugercin},
  journal= {arXiv preprint arXiv:1611.02072},
  year   = {2018}
}
R2 v1 2026-06-22T16:44:15.230Z