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自动化学报 2005
基于LMI的一类非线性多时滞系统的模糊H∞滤波器设计, PP. 394-401 Keywords: Nonlinearsystems,Hoofilter,stateestimation,Takagi-Sugenofuzzymodel,timedelays,linearmatrixinequality(LMI) Abstract: ?ThispaperdevelopsfuzzyH1filterforstateestimationapproachfornonlineardiscrete-timesystemswithmultipletimedelaysandunknownboundeddisturbances.WedesignastablefuzzyH1filterbasedontheTakagi-Sugeno(T-S)fuzzymodel,whichassuresasymptoticstabilityandaprescribedH1indexforthefilteringerrorsystem.Sufficientconditionfortheexistenceofsuchafilterisestablishedbysolvingthelinearmatrixinequality(LMI)problem.TheLMIproblemcanbeefficientlysolvedwithglobalconvergenceusingtheinteriorpointalgorithm.Simulationexamplesareprovidedtoillustratethedesignprocedureoftheproposedmethod.
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