Data-driven structured realization

被引：34
|
作者：
Schulze, Philipp [1 ]
Unger, Benjamin [1 ]
Beattie, Christopher [2 ]
Gugercin, Serkan [2 ]
机构：
[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10628 Berlin, Germany
[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 537卷
关键词：
Structured realization; Data-driven model reduction; Interpolation; Delay system; Second-order system; Moment matching; MODEL ORDER REDUCTION; SYSTEMS;
D O I：
10.1016/j.laa.2017.09.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：250 / 286
页数：37
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