变参数活性污泥系统的最优鲁棒控制法

,,,(,400045):Riccati,,,LOC(LinearOptimalController),:;;;:X703.1:A:1000-4602(2003)03-0014-03OptimalRobustnessControlMethodofActivatedSludgeSystemBasedonUncertainParametersFENGYu2zhao,LONGTeng2rui,GUOJin2song,PANGYu(SchoolofUrbanConstructionandEnvironmentalEngineering,ChongqingUniversity,Chongqing400045,China)Abstract:ThemodifiedRiccatiEquationwasusedtodesignwastewatertreatmentsystembasedonun2certainparameters,andthenanewdesignmethod-optimalrobustnesscontrolmethodwasproposed.Themethodwastestedwiththedigitalsimulationanalysisinasmall-scalewastewatertreatmentplant.TheresultsshowedthatLOC(LinearOptimalController)designedbythemethodhasgooddynamiccharacteristicsandstrongadaptabilitytoshockload,andthusimprovesinsensitivityofthecontrolsystemtothechangeofparame2ters.Keywords:activatedsludgesystem;optimalcontrol;uncertainparametersystem;robustness:(59838300);(50178069)11[12]:,Monod;;;Xi=0,Xe=0;KsnS;1,:412003Vol.19CHINAWATER&WASTEWATERNo.3转载=uH-kd-CQwVX+DOdSdt=uHYNHX-QVS+QVSi(1)dDOdt=uH(1-ffxYNH)-ffxYNHkdfYNHX-DO+Ot,[2],:(1):X(t)=A()X(t)+B()u(t)(2):X(t)=[X(t),S(t),DO(t)]TA()=uH-kd-CQwV0uHYNH-QV0uH(1-ffxYNH)-ffxYNHkdfYNH0-B()=[0QSi/VOt]T,,,,:uH-kd-CQWV[1min,1max]uHYNH[2min,2max]QV[3min,3max]uH(1-ffxYNH)-ffxYNHkdfYNH[4min,4max]QSiV[5min,5max]Ot[6min,6max]imin,imax(i=126)2ASWTORC,ASWTORC(ActivatedSludgeWastewaterTreatmentOptimalRobustControl)2090,,211(2),,:A()=A0+AB()=B0+B(2):X(t)=(A0+A)X(t)+(B0+B)u(t)(3)A0B0,,,:A=2i=1Airi(t)(4)B=(t)B0(5)Airi,(t)1,ri(t)r()212:u(t)=-KX(t)(6):Ai=dieTt(7)T=r2i=1didTi(8)U=r2i=1eieTi(9)dieiRiccati:PA0+AT0P-P{2(1-a)B0R-1BT0-1T}P+(U+Q)=0(10)Q=diag(q),R=diag(1),0,RiccatiP,:K3=1R-1BT0P(11)213[imin,imax];A0B0;512003Vol.19No.3中国科技论文在线(10)RiccatiP;(11)K33,1,2104m3/d[1],:[1min,1max]=[2.9495,5.9495][2min,2max]=[9.0634,18.1296][3min,3max]=[-10.05,-6.05][4min,4max]=[4.9364,9.9436][5min,5max]=[0.012,0.142][6min,6max]=[12.8572,19.4732]1,A0=4.44950113.5952-8.0507.44140-1B0=[0,0.077,16.1652]=1,Q=diag[1,100,1000],R=diag[1,1,1],ri(t)r=1,(t)=0.3,(6)(11):K3=[286.97850.216233.1138](23)22,2dBOD520mg/L,,,BOD520mg/L33,,,,2d,,,LOC4,,,():[1],.[M].:,2000.[2]EdgarN,Sanchez,etal.MinimalPDfuzzycontrolofawastewatertreatmentplant[A].Procofthe15thIEEEInter2nationalSymposiumonIntelligentControl(ISIC2000)[C].2000.:(1965-),,,,,:[phone]E-mail:[e-mail]:2002-08-30612003Vol.19No.3中国科技论文在线