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1、Vol.31,No.4ACTAAUTOMATICASINICAJuly,2005ImprovedRobustAdaptiveControlofaFluidizedBedCombustorforSewageSludge1)MENGHong-XiaJIAYing-Min(TheSeventhResearchDivision,BeijingUniversityofAeronauticsandAstronautics,Beijing100083)(E-mail:mhxxdl@tom.com)AbstractThispaperpresentsarobustmodelreferenceadaptivec
2、ontrolschemetodealwithun-certaintimedelayinthedynamicalmodelofafluidizedbedcombustorforsewagesludge.Thetheoreticalanalysisandsimulationresultsshowthattheproposedschemecanguaranteenotonlystabilityandrobustness,butalsotheadaptivedecouplingperformanceofthesystem.KeywordsRobustadaptivecontrol,fluidizedbe
3、dcombustor,sewagesludge,combustion,timedelay1IntroductionSewagesludgeisincineratedtoformstabilizedashandtoreducethevolumeofthesludge.Sewagesludgecombustorscanonlybeindustriallyusedifthegaseousemissionsarekeptwithinthestrictlegal[1∼3]limitsdescribedbythelaw.Someworkhasbeenpresentedtocontrolsuchplant
4、s.In[4,5],arobustPIcontrolschemewasdevelopedbytakingthemodelofthecombustorastheintervalsystem.In[6∼8],amodelreferenceadaptivecontrolscheme,whichcansimultaneouslyachieveadaptivedecouplingandmodelmatching,wasgiven.However,thetimedelaywasfixedinalltheaboveschemes,i.e.,itsuncertaintyisnotconsidered.Inth
5、ispaper,wedeveloparobustadaptivecontrolfordealingwithuncertaindelayinthesystemmodel,wherethedynamicaluncertaintyisalsoincluded.First,thetimedelayuncertaintyistrans-formedintounstructuredmultiplicativeuncertaintyasin[9∼11].Thenamodifiedadaptivelawof[8]accordingto[12]isintroduced,sothatthedesiredrobus
6、tstabilitypropertyanddecouplingperformanceareachieved.Ourresultcanbeviewedasanextensionoftheresultin[8]touncertaintimedelay,andaswellanextensionoftheresultin[13]totheMIMOinstance.2TheDescriptionofthefluidizedbedcombustoranddesignobjectives[3]Basedonplentifulexperimentaldata,thedynamicalmodelofafluidi
7、zedbedcombustorcanbedescribedby"K11K12#y1(s)T11s+1T12s+1u1(s)==y2(s)K21e−(L+∆L)sK22e−(L+∆L)su2(s)T21s+1T22s+1−1p1(s)0g11r11(s)g12r12(s)Ls−∆Ls−∆Lsu(s)(1)0P2(s)eg21r21(s)eg22r22(s)eTTTTwhereu(s)=[u1(s