On model reduction by least squares moment matching

被引:3
|
作者
Padoan, Alberto
机构
关键词
SYSTEMS; ALGORITHM;
D O I
10.1109/CDC45484.2021.9683008
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper addresses the model reduction problem by least squares moment matching for continuous-time, linear, time-invariant systems. The basic idea behind least squares moment matching is to approximate a transfer function by ensuring that the interpolation conditions imposed by moment matching are satisfied in a least squares sense. This idea is revisited using invariance equations and steady-state responses to provide a new time-domain characterization of least squares moment matching. The characterization, in turn, is then used to obtain a parameterized family of models achieving least squares moment matching. The theory is illustrated by a worked-out numerical example.
引用
收藏
页码:6901 / 6907
页数:7
相关论文
共 50 条
  • [31] Model Order Reduction of Stochastic Linear Systems by Moment Matching
    Scarciotti, Giordano
    Teel, Andrew R.
    IFAC PAPERSONLINE, 2017, 50 (01): : 6332 - 6337
  • [32] A unifying theory of least-squares Pade model reduction methods
    Smith, ID
    Lucas, TN
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 1996, 210 (02) : 95 - 102
  • [33] Application of structured total least squares for system identification and model reduction
    Markovsky, I
    Willems, JC
    Van Huffel, S
    De Moor, B
    Pintelon, R
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (10) : 1490 - 1500
  • [34] Model reduction by moment matching: case study of a FIR system
    Ionescu, T. C.
    Iftime, O. V.
    Zhong, Q. -C.
    2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 2319 - 2324
  • [35] Model reduction using Harris hawk algorithm and moment matching
    Sharma, Aswant Kumar
    Sambariya, Dhanesh Kumar
    ARCHIVES OF ELECTRICAL ENGINEERING, 2021, 70 (04) : 959 - 978
  • [36] On the use of partial least squares (PLS) and balancing for nonlinear model reduction
    Sun, CL
    Hahn, J
    ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 2572 - 2577
  • [37] Nonlinear Moment Matching-Based Model Order Reduction
    Ionescu, Tudor C.
    Astolfi, Alessandro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (10) : 2837 - 2847
  • [38] Least squares regression under weak moment conditions
    Tong, Hongzhi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 458
  • [39] Identification of Static Moment and Inertia Moment of Electric Drive with the Method of Least Squares
    Stelmashchuk, S., V
    2020 INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING, APPLICATIONS AND MANUFACTURING (ICIEAM), 2020,
  • [40] Least squares model averaging
    Hansen, Bruce E.
    ECONOMETRICA, 2007, 75 (04) : 1175 - 1189