You are not logged in.

Minimum-order filter design for partial state estimation of linear systems with multiple time-varying state delays and unknown input delays

Mohajerpoor, Reza, Abdi, Hamid, Shanmugam, Lakshmanan and Nahavandi, Saeid 2017, Minimum-order filter design for partial state estimation of linear systems with multiple time-varying state delays and unknown input delays, International journal of robust and nonlinear control, vol. 27, no. 3, pp. 393-409, doi: 10.1002/rnc.3578.

Attached Files
Name Description MIMEType Size Downloads

Title Minimum-order filter design for partial state estimation of linear systems with multiple time-varying state delays and unknown input delays
Author(s) Mohajerpoor, Reza
Abdi, HamidORCID iD for Abdi, Hamid orcid.org/0000-0001-6597-7136
Shanmugam, LakshmananORCID iD for Shanmugam, Lakshmanan orcid.org/0000-0002-4622-3782
Nahavandi, Saeid
Journal name International journal of robust and nonlinear control
Volume number 27
Issue number 3
Start page 393
End page 409
Total pages 17
Publisher Wiley-Blackwell
Place of publication Chichester, Eng.
Publication date 2017-02-01
ISSN 1049-8923
1099-1239
Keyword(s) functional observer
time-delay systems
linear matrix inequality
lyapunov krasovskii functional
genetic algorithm
Summary Designing delay-dependent functional observers for LTI systems with multiple known time-varying state delays and unknown time-varying input delays is studied. The input delays are arbitrary, but the state delays should be upper-bounded. In addition, two scenarios of slow-varying and fast-varying state delays are investigated. The results of the paper can also be considered as one of the first contributions considering unknown-input functional observer design for linear systems with multiple time-varying state delays. Based on the Lyapunov Krasovskii approach, delay-dependent sufficient conditions of the exponential stability of the observer in each scenario are established in terms of linear matrix inequalities. Because of using effective techniques, such as the descriptor transformation and an advanced weighted integral inequality, the proposed stability criteria can result in larger stability regions compared with the other papers that study functional observers for time-varying delay systems. Furthermore, to help with the design procedure, a genetic algorithm-based scheme is proposed to adjust a weighting matrix in the established linear matrix inequalities. Two numerical examples illustrate the design procedure and demonstrate the efficacy of the proposed observer in each scenario.
Language eng
DOI 10.1002/rnc.3578
Field of Research 090602 Control Systems, Robotics and Automation
0102 Applied Mathematics
0906 Electrical And Electronic Engineering
0913 Mechanical Engineering
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2016, John Wiley & Sons
Persistent URL http://hdl.handle.net/10536/DRO/DU:30085082

Document type: Journal Article
Collection: Centre for Intelligent Systems Research
Connect to link resolver
 
Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved.

Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 0 times in TR Web of Science
Scopus Citation Count Cited 0 times in Scopus
Google Scholar Search Google Scholar
Access Statistics: 52 Abstract Views, 1 File Downloads  -  Detailed Statistics
Created: Tue, 26 Jul 2016, 09:36:27 EST

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.