A MODEL-ORDER REDUCTION METHOD BASED ON KRYLOV SUBSPACES FOR MIMO BILINEAR DYNAMICAL SYSTEMS

被引:12
作者
Lin, Yiqin [1 ]
Bao, Liang [2 ,3 ]
Wei, Yimin [2 ,3 ]
机构
[1] Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Hunan, Peoples R China
[2] Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
[3] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai, Peoples R China
基金
中国国家自然科学基金;
关键词
Bilinear system; Krylov subspace; moment matching; reduced-order modeling;
D O I
10.1007/BF02832354
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a Krylov subspace based projection method for reduced-order modeling of large scale bilinear multi-input multi-output (MIMO) systems. The reduced-order bilinear system is constructed in such a way that it can match a desired number of moments of multi-variable transfer functions corresponding to the kernels of Volterra series representation of the original system. Numerical examples report the effectiveness of this method.
引用
收藏
页码:293 / 304
页数:12
相关论文
共 50 条
  • [21] Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces
    Wolf, Thomas
    Lohmann, Boris
    Eid, Rudy
    Kotyczka, Paul
    EUROPEAN JOURNAL OF CONTROL, 2010, 16 (04) : 401 - 406
  • [22] Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs
    Diaz, Alejandro N.
    Heinkenschloss, Matthias
    Gosea, Ion Victor
    Antoulas, Athanasios C.
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2023, 49 (06)
  • [23] Stable Model-Order Reduction of Active Circuits
    Nouri, Behzad
    Nakhla, Michel S.
    Deng, Xu
    IEEE TRANSACTIONS ON COMPONENTS PACKAGING AND MANUFACTURING TECHNOLOGY, 2017, 7 (05): : 710 - 719
  • [24] Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs
    Alejandro N. Diaz
    Matthias Heinkenschloss
    Ion Victor Gosea
    Athanasios C. Antoulas
    Advances in Computational Mathematics, 2023, 49
  • [25] A note on projection techniques for model order reduction of bilinear systems
    Feng, Lihong
    Benner, Peter
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 208 - +
  • [26] AN ITERATIVE MODEL ORDER REDUCTION METHOD FOR LARGE-SCALE DYNAMICAL SYSTEMS
    Mohamed, K.
    Mehdi, A.
    Abdelkader, M.
    ANZIAM JOURNAL, 2017, 59 (01) : 115 - 133
  • [27] Automated and efficient order selection in Krylov-based model order reduction
    Bazaz, Mohammad Abid
    Mashuq-un-Nabi
    Janardhanan, S.
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2013, 18 (04) : 332 - 340
  • [28] An ε-embedding model-order reduction approach for differential-algebraic equation systems
    Chen, Chun-Yue
    Jiang, Yao-Lin
    Chen, Hai-Bao
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2012, 18 (02) : 223 - 241
  • [29] Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems
    Li, Zhen
    Jiang, Yao-Lin
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54 (03) : 594 - 606
  • [30] Rational Krylov for eigenvalue computation and model order reduction
    Olsson, K. Henrik A.
    Ruhe, Axel
    BIT NUMERICAL MATHEMATICS, 2006, 46 (Suppl 1) : S99 - S111