File(s) under permanent embargo
Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances
journal contribution
posted on 2016-10-01, 00:00 authored by P T Nam, Hieu TrinhHieu Trinh, Pubudu PathiranaPubudu PathiranaThis paper presents a method to derive componentwise ultimate upper bounds and componentwise ultimate lower bounds for linear positive systems with time-varying delays and bounded disturbances. The disturbance vector is assumed to vary within a known interval whose lower bound may be different from zero. We first derive a sufficient condition for the existence of componentwise ultimate bounds. This condition is given in terms of the spectral radius of the system matrices which is easy to check and allows us to compute directly both the smallest componentwise ultimate upper bound and the largest componentwise ultimate lower bound. Then, by using the comparison method, we extend the obtained result to a class of nonlinear time-delay systems which has linear positive bounds. Two numerical examples are given to illustrate the effectiveness of the obtained results.
History
Journal
AutomaticaVolume
72Pagination
153 - 157Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0005-1098eISSN
1873-2836Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2016, ElsevierUsage metrics
Categories
No categories selectedKeywords
componentwise ultimate boundspositive systemstime-varying delaysinterval disturbancesnonlinear systemsScience & TechnologyTechnologyAutomation & Control SystemsEngineering, Electrical & ElectronicEngineeringROBUST EXPONENTIAL CONVERGENCESLIDING-MODE CONTROLSWITCHING SYSTEMSINVARIANT-SETSPERTURBATIONSQUANTIZATIONCONTROLLERSCOMPUTATION
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC