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Reachable sets bounding for switched systems with time-varying delay and bounded disturbances
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posted on 2017-01-01, 00:00 authored by M V Thuan, Hieu TrinhHieu Trinh, D C HuongIn this paper, we address the problem of finding outer bound of forward reachable sets and inter-bound of backward reachable sets of switched systems with an interval time-varying delay and bounded disturbances. By constructing a flexible Lyapunov–Krasovskii functional combining with some recent refined integral-based inequalities, some sufficient conditions are derived for the existence of (1) the smallest possible outer bound of forwards reachable sets; and (2) the largest possible inter-bound of backward reachable sets. These conditions are delay dependent and in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. A constructive geometric design of switching laws is also presented. Two numerical examples with simulation results are provided to demonstrate the effectiveness of our results.
History
Journal
International journal of systems scienceVolume
48Issue
3Pagination
494 - 504Publisher
Taylor & FrancisLocation
Abingdon, Eng.Publisher DOI
ISSN
0020-7721eISSN
1464-5319Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2016, Informa UKUsage metrics
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No categories selectedKeywords
switched delay systemsforward reachable setsbackward reachable setslyapunov-krasovskii functionallinear matrix inequalitiesScience & TechnologyTechnologyAutomation & Control SystemsComputer Science, Theory & MethodsOperations Research & Management ScienceComputer ScienceEXPONENTIAL STABILITY ANALYSISH-INFINITY CONTROLLINEAR-SYSTEMSSTABILIZATIONDISCRETEL-2-GAIN
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