Invariant subspaces for LPV systems and their applications

被引：61

作者：

Balas, G ^{[1
]}

Bokor, J

Szabó, Z

机构：

[1] Univ Minnesota, Dept Aerosp Engn & Mech, Minneapolis, MN 55455 USA

[2] Hungarian Acad Sci, Inst Comp & Automat Res, H-1111 Budapest, Hungary

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 11期

基金：

匈牙利科学研究基金会; 美国国家航空航天局;

关键词：

distributions; input affine systems; invariant subspaces; linear parameter-varying (LPV) systems;

D O I：

10.1109/TAC.2003.819647

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of this note is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of state feedback and observer design problems.

引用

页码：2065 / 2069

页数：5

共 34 条

[1] SELF-SCHEDULED H-INFINITY CONTROL OF LINEAR PARAMETER-VARYING SYSTEMS - A DESIGN EXAMPLE [J].

APKARIAN, P ;

GAHINET, P ;

BECKER, G .

AUTOMATICA, 1995, 31 (09) :1251-1261

[2]

Balas G, 2002, P AMER CONTR CONF, V1-6, P4421, DOI 10.1109/ACC.2002.1025342

[3]

BALAS G, 2000, PREPRINTS SAFEPROCCE, V2, P653

[4]

BARKER J, 1999, AIAA GUID NAV CONTR

[5]

Basile G., 1969, Journal of Optimization Theory and Applications, V3, P306, DOI 10.1007/BF00931370

[6] ON THE ROBUST CONTROLLED INVARIANT [J].

BASILE, G ;

MARRO, G .

SYSTEMS & CONTROL LETTERS, 1987, 9 (03) :191-195

[7] ROBUST PERFORMANCE OF LINEAR PARAMETRICALLY VARYING SYSTEMS USING PARAMETRICALLY-DEPENDENT LINEAR FEEDBACK [J].

BECKER, G ;

PACKARD, A .

SYSTEMS & CONTROL LETTERS, 1994, 23 (03) :205-215

[8] GENERALIZED CONTROLLABILITY, (A,B)-INVARIANT SUBSPACES AND PARAMETER INVARIANT CONTROL [J].

BHATTACHARYYA, SP .

SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (04) :529-533

[9]

BOKOR J, 2002, 41 IEEE C DEC CONTR

[10] COMPUTING THE MAXIMUM ROBUST CONTROLLED INVARIANT SUBSPACE [J].

CONTE, G ;

PERDON, AM ;

MARRO, G .

SYSTEMS & CONTROL LETTERS, 1991, 17 (02) :131-135

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