A Delay-Dependent Functional Observer for Linear Time-Invariant Systems With Input Delay

被引：0

作者：

Mohajerpoor, Reza ^{[1
]}

Abdi, Hamid ^{[1
]}

Nahavandi, Saeid ^{[1
]}

Leong, Wei Yin ^{[2
]}

机构：

[1] Deakin Univ, Ctr Intelligent Syst Res, Geelong, Vic 3217, Australia

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

来源：

2014 13TH INTERNATIONAL CONFERENCE ON CONTROL AUTOMATION ROBOTICS & VISION (ICARCV) | 2014年

关键词：

Functional observer; minimal order observer; time-delay systems; observability and detectability; generalized inverse; MULTIVARIABLE SYSTEMS; VARYING SYSTEMS; PARTIAL STATE; DESIGN; OBSERVABILITY; EXISTENCE; OUTPUT;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A delay-dependent functional observer is designed for linear time-invariant (LTI) systems with time-varying input delay. Compared to delay-free observers, delay-dependent functional observers are less conservative and cover more systems. The designed functional observer is with minimum possible order (minimal). Necessary and sufficient conditions of the existence of the observer and asymptomatic stability of it are illustrated. The proposed observer is extended to multiple input delayed systems with time-varying delays. An algorithm is developed for designing of the minimal order observer based on the methodology of this paper. Two numerical examples and simulations are used to support our proposed methodology.

引用

页码：746 / 751

页数：6

共 26 条

[1] Predictor-observer-based control of systems with multiple input/output delays [J].

Albertos, Pedro ;

Garcia, Pedro .

JOURNAL OF PROCESS CONTROL, 2012, 22 (07) :1350-1357

[2] Observer-based H-infinity controller design for state delayed linear systems [J].

Choi, HH ;

Chung, MJ .

AUTOMATICA, 1996, 32 (07) :1073-1075

[3]

Darouach M, 2007, ASIAN J CONTROL, V9, P426, DOI 10.1111/j.1934-6093.2007.tb00430.x

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

Darouach, M .

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

[5] Unknown inputs functional observers designs for delay descriptor systems [J].

Ezzine, Montassar ;

Darouach, Mohamed ;

Ali, Harouna Souley ;

Messaoud, Hassani .

INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (10) :1850-1858

[6]

Feng JE, 2009, INT J CONTROL AUTOM, V7, P341, DOI [10.1007/S12555-009-0302-9, 10.1007/s12555-009-0302-9]

[7] Functional Observability and the Design of Minimum Order Linear Functional Observers [J].

Fernando, Tyrone Lucius ;

Trinh, Hieu Minh ;

Jennings, Les .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) :1268-1273

[8] Partial state estimation for linear systems with output and input time delays [J].

Ha, Q. P. ;

That, Nguyen D. ;

Nam, Phan T. ;

Trinh, H. .

ISA TRANSACTIONS, 2014, 53 (02) :327-334

[9] Existence Conditions for Functional Observability From an Eigenspace Perspective [J].

Jennings, Les S. ;

Fernando, Tyrone Lucius ;

Hieu Minh Trinh .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (12) :2957-2961

[10]

Kravaris C., CONTR AUT ICCA 2011, P501

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