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

页码：102 / 116

页数：15

共 42 条

[11] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS
BYRNES, CI
ISIDORI, A
WILLEMS, JC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) : 1228 - 1240
[12] CHERIFI K., 2019, PREPRINT ARXIV190307
[13] Port Controlled Hamiltonian Modeling and IDA-PBC Control of Dual Active Bridge Converters for DC Microgrids
Cupelli, Marco
Gurumurthy, Sriram K.
Bhanderi, Siddharth K.
Yang, Zhiqing
Joebges, Philipp
Monti, Antonello
De Doncker, Rik W.
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2019, 66 (11) : 9065 - 9075
[14] DOMSCHKE P., 2017, PREPRINT 2717
[15] FINDING THE NEAREST POSITIVE-REAL SYSTEM
Gillis, Nicolas
Sharma, Punit
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 56 (02) : 1022 - 1047
[16] Golo G, 2003, NONLINEAR AND HYBRID SYSTEM IN AUTOMOTIVE CONTROL, P351
[17] Gugercin S., 2003, EUR CONTR C ECC 2003, P968
[18] Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
Gugercin, Serkan
Polyuga, Rostyslav V.
Beattie, Christopher
van der Schaft, Arjan
[J]. AUTOMATICA, 2012, 48 (09) : 1963 - 1974
[19] Data-driven reduced order modeling for time-dependent problems
Guo, Mengwu
Hesthaven, Jan S.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 345 : 75 - 99
[20] The port Hamiltonian approach to modeling and control of Continuous Stirred Tank Reactors
Hoang, H.
Couenne, F.
Jallut, C.
Le Gorrec, Y.
[J]. JOURNAL OF PROCESS CONTROL, 2011, 21 (10) : 1449 - 1458

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