Design of reduced-order state/unknown input observers based on a descriptor system approach

被引：23

作者：

Fernando, T. ^{[1
]}

Trinh, H. ^{[1
]}

机构：

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

来源：

ASIAN JOURNAL OF CONTROL | 2007年 / 9卷 / 04期

关键词：

unknown inputs; linear functional observers; simultaneous estimation;

D O I：

10.1111/j.1934-6093.2007.tb00434.x

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper solves the problem of estimating simultaneously a linear function of the state and unknown input of linear systems with unknown inputs. Here, the problem is conveniently solved by using the descriptor system approach. The observers proposed in this paper are of low-order and do not include derivatives of the outputs. Conditions for the existence of reduced-order observers are derived. Based on the newly derived existence conditions, a step-by-step design procedure is given. A numerical example is given to illustrate the attractiveness and simplicity of the design procedure.

引用

页码：458 / 465

页数：8

共 12 条

[1] FULL-ORDER OBSERVERS FOR LINEAR-SYSTEMS WITH UNKNOWN INPUTS [J].

DAROUACH, M ;

ZASADZINSKI, M ;

XU, SJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (03) :606-609

[2] A descriptor system approach to H∞ control of linear time-delay systems [J].

Fridman, E ;

Shaked, U .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270

[3] State and input simultaneous estimation for a class of nonlinear systems [J].

Ha, QP ;

Trinh, H .

AUTOMATICA, 2004, 40 (10) :1779-1785

[4] Novel extended Viterbi-based multiple-model algorithms for state estimation of discrete-time systems with Markov jump parameters [J].

Ho, TJ ;

Chen, BS .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (02) :393-404

[5] DESIGN OF A CLASS OF LUENBERGER OBSERVERS FOR DESCRIPTOR SYSTEMS [J].

HOU, M ;

MULLER, PC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (01) :133-136

[6] DISTURBANCE DECOUPLED OBSERVER DESIGN - A UNIFIED VIEWPOINT [J].

HOU, M ;

MULLER, PC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (06) :1338-1341

[7] DESIGN OF OBSERVERS FOR LINEAR-SYSTEMS WITH UNKNOWN INPUTS [J].

HOU, M ;

MULLER, PC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) :871-875

[8] Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs [J].

Tanaka, K ;

Ikeda, T ;

Wang, HO .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (02) :250-265

[9]

Trinh H, 2004, ASIAN J CONTROL, V6, P514, DOI 10.1111/j.1934-6093.2004.tb00372.x

[10] A new design approach to unknown input observers [J].

Tsui, CC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :464-468

← 1 2 →