Coprime factors reduction methods for linear parameter varying and uncertain systems

被引：40

作者：

Beck, C ^{[1
]}

机构：

[1] Univ Illinois, Dept Gen Engn, Urbana, IL 61801 USA

来源：

SYSTEMS & CONTROL LETTERS | 2006年 / 55卷 / 03期

基金：

美国国家科学基金会;

关键词：

coprime factors; balanced truncation; linear parameter-varying systems; uncertain systems;

D O I：

10.1016/j.sysconle.2005.07.006

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 generalization of the coprime factors model reduction method of Meyer and propose a balanced truncation reduction algorithm for a class of systems containing linear parameter varying and uncertain system models. A complete derivation of coprime factorizations for this class of systems is also given. The reduction method proposed is thus applicable to linear parameter varying and uncertain system realizations that do not satisfy the structured l(2)-induced stability constraint required in the standard nonfactored case. Reduction error bounds in the l(-)induced norm of the factorized mapping are given. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：199 / 213

页数：15

共 50 条

[1]

AHSSIBI A, 1999, P AM CONTR C, P1385

[2] AN ERROR BOUND FOR A DISCRETE REDUCED ORDER MODEL OF A LINEAR-MULTIVARIABLE SYSTEM [J].

ALSAGGAF, UM ;

FRANKLIN, GF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (09) :815-819

[3]

Andersson L, 1999, INT J ROBUST NONLIN, V9, P157, DOI 10.1002/(SICI)1099-1239(199903)9:3<157::AID-RNC398>3.0.CO

[4]

2-8

[5]

[Anonymous], 2000, A Course in Robust Control Theory: a Convex Approach

[6]

BECK C, 1993, PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P3652, DOI 10.1109/CDC.1993.325889

[7]

Beck C, 1997, IEEE DECIS CONTR P, P3298, DOI 10.1109/CDC.1997.652354

[8] Model reduction of multidimensional and uncertain systems [J].

Beck, CL ;

Doyle, J ;

Glover, K .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (10) :1466-1477

[9]

Belcastro C. M., 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404), P16, DOI 10.1109/CACSD.1999.808617

[10] On the role of LFT model reduction methods in robust controller synthesis for a pressurized water reactor [J].

Bendotti, P ;

Beck, CL .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 1999, 7 (02) :248-257

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