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
收藏
页码：5629 / 5634
页数：6
相关论文
共 18 条
[11]   Balanced truncation for linear switched systems [J].
Petreczky, Mihaly ;
Wisniewski, Rafael ;
Leth, John .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2013, 10 :4-20
[12]  
Pontes Duff I, 2020, IN PRESS
[13]   Balanced truncation of linear time-varying systems [J].
Sandberg, H ;
Rantzer, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (02) :217-229
[14]   MODEL REDUCTION FOR LINEAR SYSTEMS WITH LOW-RANK SWITCHING [J].
Schulze, Philipp ;
Unger, Benjamin .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (06) :4365-4384
[15]   LINEAR TIME-VARIABLE SYSTEMS - STABILITY OF REDUCED MODELS [J].
SHOKOOHI, S ;
SILVERMAN, LM ;
VANDOOREN, P .
AUTOMATICA, 1984, 20 (01) :59-67
[16]   LINEAR TIME-VARIABLE SYSTEMS - BALANCING AND MODEL-REDUCTION [J].
SHOKOOHI, S ;
SILVERMAN, LM ;
VANDOOREN, PM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :810-822
[17]  
Sun Z., 2005, COMM CONT E
[18]   ON GENERALIZED BALANCED REALIZATIONS [J].
VERRIEST, EI ;
KAILATH, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :833-844
12