A time-varying Gramian based model reduction approach for Linear Switched Systems

被引：3

作者：

Hossain, Md Sumon ^{[1
]}

Trenn, Stephan ^{[1
]}

机构：

[1] Univ Groningen, Bernoulli Inst Math Comp Sci & Artificial Intelli, Groningen, Netherlands

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Balanced truncation; model reduction; time-varying; differential Lyapunov equations; Gramians; BALANCED TRUNCATION; VARIABLE SYSTEMS;

D O I：

10.1016/j.ifacol.2020.12.1580

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 propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example. Copyright (C) 2020 The Authors.

引用

页码：5629 / 5634

页数：6

共 18 条

[1]

Antoulas. A. C., 2005, Adv. Des. Control

[2] Solution formulas for differential Sylvester and Lyapunov equations [J].

Behr, Maximilian ;

Benner, Peter ;

Heiland, Jan .

CALCOLO, 2019, 56 (04)

[3] ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].

GLOVER, K .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1115-1193

[4] DATA-DRIVEN MODEL ORDER REDUCTION OF LINEAR SWITCHED SYSTEMS IN THE LOEWNER FRAMEWORK [J].

Gosea, I. V. ;

Petreczky, M. ;

Antoulas, A. C. .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 40 (02) :B572-B610

[5] Balanced truncation for linear switched systems [J].

Gosea, Ion Victor ;

Petreczky, Mihaly ;

Antoulas, Athanasios C. ;

Fiter, Christophe .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2018, 44 (06) :1845-1886

[6] Balanced truncation model reduction for linear time-varying systems [J].

Lang, N. ;

Saak, J. ;

Stykel, T. .

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2016, 22 (04) :267-281

[7]

Liberzon D., 2003, SYS CON FDN, DOI 10.1007/978-1-4612-0017-8

[8] A Simultaneous Balanced Truncation Approach to Model Reduction of Switched Linear Systems [J].

Monshizadeh, Nima ;

Trentelman, Harry L. ;

Camlibel, M. Kanat .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (12) :3118-3131

[9] PRINCIPAL COMPONENT ANALYSIS IN LINEAR-SYSTEMS - CONTROLLABILITY, OBSERVABILITY, AND MODEL-REDUCTION [J].

MOORE, BC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) :17-32

[10] Model reduction of switched affine systems [J].

Papadopoulos, Alessandro Vittorio ;

Prandini, Maria .

AUTOMATICA, 2016, 70 :57-65

← 1 2 →