Data-driven structured realization
Copyright policy )Data-driven structured realization
We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form $\widetilde{C}(\sum_{k=1}^K h_k(s)\widetilde{A}_k)^{-1}\widetilde{B}$ where $h_1, h_2, \ldots, h_K$ 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 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.
- Technical University of Berlin Germany
- Karlsruhe Institute of Technology Germany
- Virginia Tech United States
second-order system, Mathematics, Applied, moment matching, INTERPOLATION, Systems and Control (eess.SY), NONLINEAR-SYSTEMS, LINEAR-SYSTEMS, 93B15, 30E05, 93C05, Moment problems and interpolation problems in the complex plane, Electrical Engineering and Systems Science - Systems and Control, Approximation methods and numerical treatment of dynamical systems, Moment matching, Large-scale systems, Realizations from input-output data, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, delay system, Mathematics - Numerical Analysis, info:eu-repo/classification/ddc/510, ddc:510, Structured realization, TIME-DELAY SYSTEMS, Data-driven model reduction, Numerical Analysis (math.NA), FRAMEWORK, Delay system, interpolation, Interpolation, data-driven model reduction, Linear systems in control theory, Second-order system, structured realization, DYNAMICAL-SYSTEMS, MODEL ORDER REDUCTION, Mathematics, APPROXIMATION
second-order system, Mathematics, Applied, moment matching, INTERPOLATION, Systems and Control (eess.SY), NONLINEAR-SYSTEMS, LINEAR-SYSTEMS, 93B15, 30E05, 93C05, Moment problems and interpolation problems in the complex plane, Electrical Engineering and Systems Science - Systems and Control, Approximation methods and numerical treatment of dynamical systems, Moment matching, Large-scale systems, Realizations from input-output data, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, delay system, Mathematics - Numerical Analysis, info:eu-repo/classification/ddc/510, ddc:510, Structured realization, TIME-DELAY SYSTEMS, Data-driven model reduction, Numerical Analysis (math.NA), FRAMEWORK, Delay system, interpolation, Interpolation, data-driven model reduction, Linear systems in control theory, Second-order system, structured realization, DYNAMICAL-SYSTEMS, MODEL ORDER REDUCTION, Mathematics, APPROXIMATION
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).42 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!