A NON-INTRUSIVE METHOD TO INFERRING LINEAR PORT-HAMILTONIAN REALIZATIONS USING TIME-DOMAIN DATA

被引：6
作者：
Cherifi, Karim [1 ]
Goyal, Pawan [1 ]
Benner, Peter [1 ,2 ]
机构：
[1] Max Planck Inst Dynam Complex Tech Syst, Sandtorstr 1, D-39106 Magdeburg, Germany
[2] Otto von Guericke Univ, Fac Math, Univ Pl 2, D-39106 Magdeburg, Germany
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2022年 / 56卷
关键词：
System identification; port-Hamiltonian systems; Loewner approach; transfer function; input-output data; MODEL-REDUCTION; SYSTEMS; INTERPOLATION; PASSIVITY;
D O I：
10.1553/etna_vol56s102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Port-Hamiltonian systems have gained a lot of attention in recent years due to their inherent valuable properties in modeling and control. In this paper, we are interested in constructing linear port-Hamiltonian systems from time-domain input-output data. We discuss a non-intrusive methodology that is comprised of two main ingredients-(a) inferring frequency response data from time-domain data and (b) constructing an underlying portHamiltonian realization using the inferred frequency response data. We illustrate the proposed methodology by means of two numerical examples and also compare it with two other system identification methods to infer the frequency response from the input-output data.
引用
收藏
页码：102 / 116
页数：15
相关论文
共 42 条
  • [1] [Anonymous], 2006, AT-AUTOM
  • [2] ANTOULAS A. C., 2017, MODEL REDUCTION APPR, P335, DOI DOI 10.1137/1.9781611974829.CH8
  • [3] BEATTIE C., 2015, 232015 TU BERL I MAT
  • [4] BEATTIE C, 2020, WORKSHOP MATH REDUCE
  • [5] Beattie C, 2011, IEEE DECIS CONTR P, P6564, DOI 10.1109/CDC.2011.6161504
  • [6] Robust port-Hamiltonian representations of passive systems
    Beattie, Christopher A.
    Mehrmann, Volker
    Van Dooren, Paul
    [J]. AUTOMATICA, 2019, 100 : 182 - 186
  • [7] Identification of port-Hamiltonian systems from frequency response data
    Benner, Peter
    Goyal, Pawan
    Van Dooren, Paul
    [J]. SYSTEMS & CONTROL LETTERS, 2020, 143
  • [8] A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
    Benner, Peter
    Gugercin, Serkan
    Willcox, Karen
    [J]. SIAM REVIEW, 2015, 57 (04) : 483 - 531
  • [9] Breedveld P., 2008, Control Systems, Robotics and Automation - Modeling and System Identification I, volume 18-4-1 of Encyclopedia of Life Support Systems, V18-4-1, P128
  • [10] Brunton SL., 2019, DATA DRIVEN SCI ENG, DOI [10.1017/9781108380690, DOI 10.1017/9781108380690]
12345