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

页码：1231 / 1246

页数：16

共 50 条

[41] 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)
[42] 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
[43] S=1 bilinear biquadratic spin model on the square lattice: A series expansion study
Oitmaa, J.
Hamer, C. J.
PHYSICAL REVIEW B, 2013, 87 (22):
[44] Two-sided Interconnection-Based Model Reduction for Quadratic-Bilinear Systems
Bai, Han
Scarciotti, Giordano
IFAC PAPERSONLINE, 2024, 58 (05): : 108 - 113
[45] A MODEL-ORDER REDUCTION METHOD BASED ON KRYLOV SUBSPACES FOR MIMO BILINEAR DYNAMICAL SYSTEMS
Lin, Yiqin
Bao, Liang
Wei, Yimin
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2007, 25 (1-2) : 293 - 304
[46] Estimating the Gerber-Shiu function in the perturbed compound Poisson model by Laguerre series expansion
Su, Wen
Yong, Yaodi
Zhang, Zhimin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) : 705 - 729
[47] Generating series for bilinear hybrid systems
Petreczky, Mihaly
van Schuppen, Jan H.
SYSTEMS & CONTROL LETTERS, 2010, 59 (3-4) : 218 - 225
[48] Model reduction of homogeneous-in-the-state bilinear systems with input constraints
Couchman, I. J.
Kerrigan, E. C.
Boehm, C.
2010 AMERICAN CONTROL CONFERENCE, 2010, : 2718 - 2723
[49] Model order reduction for bilinear control systems with inhomogeneous initial conditions
Cao, Xingang
Benner, Peter
Duff, Igor
Schilders, Wil
INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (10) : 2886 - 2895
[50] Model reduction of homogeneous-in-the-state bilinear systems with input constraints
Couchman, Ian J.
Kerrigan, Eric C.
Boehm, Christoph
AUTOMATICA, 2011, 47 (04) : 761 - 768

← 1 2 3 4 5 →