File(s) under permanent embargo
Minimum-order filter design for partial state estimation of linear systems with multiple time-varying state delays and unknown input delays
journal contribution
posted on 2017-02-01, 00:00 authored by Reza Mohajerpoor, Hamid AbdiHamid Abdi, Lakshmanan Shanmugam, Saeid NahavandiDesigning 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.
History
Journal
International journal of robust and nonlinear controlVolume
27Issue
3Pagination
393 - 409Publisher
Wiley-BlackwellLocation
Chichester, Eng.Publisher DOI
ISSN
1049-8923eISSN
1099-1239Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2016, John Wiley & SonsUsage metrics
Keywords
functional observertime-delay systemslinear matrix inequalitylyapunov krasovskii functionalgenetic algorithmScience & TechnologyTechnologyPhysical SciencesAutomation & Control SystemsEngineering, Electrical & ElectronicMathematics, AppliedEngineeringMathematicsFUNCTIONAL OBSERVERSSTABILITYOUTPUTMechanical Engineering
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC