Functional Observability and the Design of Minimum Order Linear Functional Observers

被引：118

作者：

Fernando, Tyrone Lucius ^{[1
]}

Trinh, Hieu Minh ^{[2
]}

Jennings, Les ^{[3
]}

机构：

[1] Univ Western Australia, Sch Elect Elect & Comp Engn, Crawley, WA 6009, Australia

[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia

[3] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 05期

关键词：

Functional detectability; functional observability; functional observers; minimum order observers; STATE VECTOR; SYSTEMS;

D O I：

10.1109/TAC.2010.2042761

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 design of a minimum-order linear functional observer for linear time-invariant systems has been an open problem for over four decades. This technical note provides a solution to this problem. The technical note also introduces the concept of Functional Observability/Detectability and shows that the well-known concept of Observability/Detectability is a special case of Functional Observability/Detectability.

引用

页码：1268 / 1273

页数：6

共 17 条

[1] OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS [J].

ANDERSON, BD ;

BOSE, NK ;

JURY, EI .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, AC20 (01) :53-66

[2] Existence and design of functional observers for linear systems [J].

Darouach, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (05) :940-943

[3] A DIRECT PROCEDURE FOR THE DESIGN OF SINGLE FUNCTIONAL OBSERVERS [J].

DASGUPTA, R ;

FAIRMAN, FW ;

HINAMOTO, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1981, 28 (04) :294-300

[4] DESIGN OF LOW-ORDER OBSERVERS FOR LINEAR FEEDBACK CONTROL LAWS [J].

FORTMANN, TE ;

WILLIAMS.D .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (03) :301-&

[5]

Furuta K., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P4305, DOI 10.1109/ACC.1999.786378

[6] LINEAR FUNCTION OBSERVER WITH POSSIBLY MINIMAL DIMENSION [J].

FURUTA, K ;

KAWAJI, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (06) :977-980

[7]

Kailath T., 1980, Linear systems

[8] OBSERVERS FOR MULTIVARIABLE SYSTEMS [J].

LUENBERGER, DG .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (02) :190-+

[9] MINIMAL ORDER OBSERVERS FOR ESTIMATING LINEAR FUNCTIONS OF A STATE VECTOR [J].

MOORE, JB ;

LEDWICH, GF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, 20 (05) :623-632

[10] DESIGN OF DEGENERATE OBSERVERS [J].

MURDOCH, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (04) :441-442

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