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, Hamid Shanmugam, Lakshmanan 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 Related Links Link Description Connect to published version Go to link with your DU access privileges   Connect to Elements publication management system Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Tue, 26 Jul 2016, 09:36:27 EST Tue, 26 Jul 2016, 15:28:57 EST Tue, 26 Jul 2016, 15:40:59 EST Wed, 27 Jul 2016, 06:11:07 EST Fri, 16 Sep 2016, 11:30:42 EST Fri, 16 Sep 2016, 11:33:50 EST Fri, 16 Sep 2016, 11:34:42 EST Tue, 07 Feb 2017, 12:43:20 EST Tue, 07 Feb 2017, 12:44:09 EST Sat, 04 Mar 2017, 01:31:22 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 0 times in Scopus Search Google Scholar Access Statistics: 43 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Tue, 26 Jul 2016, 09:36:27 EST

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