Model reduction by moment matching, steady-state response and projections

被引：29
作者：
Astolfi, A. [1 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England
来源：
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词：
INTERPOLATION PROBLEM; DEGREE CONSTRAINT; ERROR-BOUNDS; SYSTEMS;
D O I：
10.1109/CDC.2010.5717725
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 model reduction problem by moment matching for linear systems is revisited and connections between projection based methods and the notion of steady-state response are established. A systems theoretic interpretation of the (oblique) projectors used in Krylov methods is derived and a new family of reduced order models achieving moment matching is given. Finally, the equivalence between various families of reduced order models, all achieving moment matching, is established.
引用
收藏
页码：5344 / 5349
页数：6
相关论文
共 17 条
  • [1] Adamjan V. M., 1971, Math. USSR-Sb., V15, P31
  • [2] [Anonymous], 2006, P 17 INT S MTNS 2006
  • [3] Antoulas A., 2005, SIAM Advances in Design and Control
  • [4] ON THE SOLUTION OF THE MINIMAL RATIONAL INTERPOLATION PROBLEM
    ANTOULAS, AC
    BALL, JA
    KANG, J
    WILLEMS, JC
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 137 : 511 - 573
  • [5] Astolfi A., 2010, IFAC S NONL CONTR SY
  • [6] Astolfi A., 2010, IEEE T AUTOM CONTROL, V55
  • [7] Beattie C., 2008, 47 C DEC CONTR CANC
  • [8] A COMPLETE PARAMETERIZATION OF ALL POSITIVE RATIONAL EXTENSIONS OF A COVARIANCE SEQUENCE
    BYRNES, CI
    LINDQUIST, A
    GUSEV, SV
    MATVEEV, AS
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (11) : 1841 - 1857
  • [9] Generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint
    Byrnes, CI
    Georgiou, TT
    Lindquist, A
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (06) : 822 - 839
  • [10] The interpolation problem with a degree constraint
    Georgiou, TT
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (03) : 631 - 635
12