Model reduction of bilinear systems based on Laguerre series expansion

被引：32
作者：
Wang, Xiaolong [1 ]
Jiang, Yaolin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 03期
关键词：
ORDER REDUCTION; BIBO STABILITY; CONVERGENCE; H-2;
D O I：
10.1016/j.jfranklin.2012.01.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present a model reduction method for bilinear systems based on the Laguerre series expansion of the kernels resulting from the Volterra representation theory. By employing a two-sided projection, the reduced order system preserves a desired number of Laguerre coefficients, thereby approximating the original system faithfully. Furthermore, the relationship between the proposed Laguerre-based methods and the moment matching methods is studied, which reveals that these two approaches are equivalent under some specific conditions. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1231 / 1246
页数：16
相关论文
共 36 条
  • [21] 2-1
  • [22] Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces
    Lin, Yiqin
    Bao, Liang
    Wei, Yimin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) : 1093 - 1102
  • [23] Optimal reduction of linear systems
    Luus, R
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (03): : 523 - 532
  • [24] Mohler RR, 1973, Bilinear control processes
  • [25] Model order reduction using response-matching technique
    Mukherjee, S
    Satakshi
    Mittal, RC
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2005, 342 (05): : 503 - 519
  • [26] An algorithmic approach for system decomposition and balanced realized model reduction
    Nagar, SK
    Singh, SK
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2004, 341 (07): : 615 - 630
  • [27] Phillips J., 2000, DES AUT C AS S PAC
  • [28] Projection-based approaches for model reduction of weakly nonlinear, time-varying systems
    Phillips, JR
    [J]. IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2003, 22 (02) : 171 - 187
  • [29] Rugh W J., 1981, Nonlinear System Theory: The Volterra / Wiener Approach
  • [30] H2 and H∞ optimal model reduction using genetic algorithms
    Salim, Reem
    Bettayeb, Maamar
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (07): : 1177 - 1191
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