Model Reduction by Nice Selections for Linear Switched Systems

被引：15
|
作者：
Bastug, Mert [1 ,2 ]
Petreczky, Mihaly [3 ,4 ]
Wisniewski, Rafael [1 ]
Leth, John [1 ]
机构：
[1] Aalborg Univ, Dept Elect Syst Automat & Control, DK-9220 Aalborg, Denmark
[2] Ecole Mines Douai, Dept Comp Sci & Automat Control, UR Informat & Automat, F-59508 Douai, France
[3] Ecole Mines Douai, Dept Comp Sci & Automat Control, F-59508 Douai, France
[4] Cent Lille, CNRS, UMR CRIStAL Ctr Rech Informat Signal & Automat Li, F-59000 Lille, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 11期
关键词：
Automata; linear switched systems; model reduction; BALANCED TRUNCATION; ORDER REDUCTION;
D O I：
10.1109/TAC.2016.2518023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A moment-matching method for model reduction of linear switched systems (LSSs) is presented. The method can be seen as a non-trivial extension of the Krylov subspace methods for linear time-invariant (LTI) systems. The procedure is based on the so called "nice selections," which represent a choice of basis in the reachability or observability space of the LSS. The framework can also be used for exact matching of the input-output behavior of an LSS with a reduced order LSS for a specific switching sequence. Conditions for applicability of the method for model reduction are stated and finally the results are illustrated on numerical examples.
引用
收藏
页码：3422 / 3437
页数：16
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