Robust filtering with guaranteed energy-to-peak performance -: an LMI approach

被引：163

作者：

Palhares, RM

Peres, PLD

机构：

[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Dept Telemat, BR-13081970 Campinas, SP, Brazil

[2] Pontificia Univ Catolica Minas Gerais, Grad Program Elect Engn, BR-30535610 Belo Horizonte, MG, Brazil

来源：

AUTOMATICA | 2000年 / 36卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

robust estimation; filtering problems; filter design; uncertain linear systems; energy-to-peak gain; linear matrix inequalities;

D O I：

10.1016/S0005-1098(99)00211-3

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 problem of robust energy-to-peak filtering for linear systems with convex bounded uncertainties is investigated in this paper. The main purpose is to design a full order stable linear filter that minimizes the worst-case peak value of the filtering error output signal with respect to all bounded energy inputs, in such a way that the filtering error system remains quadratically stable. Necessary and sufficient conditions are formulated in terms of linear Matrix Inequalities - LMIs, for both continuous- and discrete-time cases. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：851 / 858

页数：8

共 32 条

[1]

Abedor J, 1996, INT J ROBUST NONLIN, V6, P899, DOI 10.1002/(SICI)1099-1239(199611)6:9/10<899::AID-RNC259>3.0.CO

[2]

2-G

[3] CONDITIONS FOR POSITIVE AND NONNEGATIVE DEFINITENESS IN TERMS OF PSEUDOINVERSES [J].

ALBERT, A .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (02) :434-&

[4] SOME OPEN PROBLEMS IN MATRIX-THEORY ARISING IN LINEAR-SYSTEMS AND CONTROL [J].

BERNSTEIN, DS .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 162 :409-432

[5] H infinity design with pole placement constraints: An LMI approach [J].

Chilali, M ;

Gahinet, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :358-367

[6]

FIALHO IJ, 1995, PROCEEDINGS OF THE 1995 AMERICAN CONTROL CONFERENCE, VOLS 1-6, P939

[7]

Geromel JC, 1998, IEEE DECIS CONTR P, P146, DOI 10.1109/CDC.1998.760606

[8]

Geromel JC, 1998, IEEE DECIS CONTR P, P632, DOI 10.1109/CDC.1998.760753

[9] Reduced-order H-infinity and L-2-L-infinity filtering via linear matrix inequalities [J].

Grigoriadis, KM ;

Watson, JT .

IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1997, 33 (04) :1326-1338

[10] L-2 and L-2-L-infinity model reduction via linear matrix inequalities [J].

Grigoriadis, KM .

INTERNATIONAL JOURNAL OF CONTROL, 1997, 68 (03) :485-498

← 1 2 3 4 →