RSRC LVINLBVWt8, t`€„@< sہ€ےےےےھ³‘اL„ڑN)ہ،ِKم»yل‡#@µ*ثh<œ؛ك شŒظڈ²é€ کىّB~j!_/غu§آغy¨€Z:°œ6ْLVINsystem_ident.viLVCCCD General Elements.ctlےےےے}ٌ¼\;CD General Elements.ctlـ@P@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes propertiesPTH0aaddonsControl Design_Model ConstructionModel Typedefs.llbCD General Elements.ctloCODECDTKبPOLYSI Model Simulation.viےےےےٍ#£PTH0SaddonsSystem IdentificationModel Analysis.llbSI Model Simulation.vi)SYIDSYID€POLY SI Estimate State-Space Model.viےےےےٍ| bPTH0daddonsSystem IdentificationParametric Estimation.llb SI Estimate State-Space Model.viSYIDSYID€LVIN/SI Convert to Transfer Function Model of CDT.viےےےےزًx 6@P@!status @code@0ےےےےsource error outô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)transfer function model@@P@!status @code@0ےےےےsourceerror in (no error)@!measured only? 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K matrix?@!initial states?structure selector@@P@!status @code@0ےےےےsourceerror in (no error)@number of states@@ےےےے response signal@@ےےےے stimulus signalPTH0qaddonsSystem IdentificationParametric Estimation.llb-SI Estimate State-Space Model (SISO Array).viiSYIDSYID€POLY%CD Draw Transfer Function Equation.viےےےےٍ‏خPTH0baddonsControl Design_UtilityModel Viewer.llb%CD Draw Transfer Function Equation.viCODECDTKبLVIN*cd_Draw Transfer Function Equation (TF).viےےےے€ًx 6@P@!status @code@0ےےےےsource error out,@P @Width@HeightDraw Area Size@3ےےےےEquation@@P@!status @code@0ےےےےsourceerror in (no error)@Input (column)@Output (row)ô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)Transfer Function ModelPTH0gaddonsControl Design_UtilityModel Viewer.llb*cd_Draw Transfer Function Equation (TF).viCODECDTKبPOLYCD Write Model to File.viےےےےٍ•VُPTH0baddonsControl Design_Model ConstructionModel File IO.llbCD Write Model to File.viCODECDTKبLVINcd_Write Model to File (TF).viےےےےڑًx 6@P@!status @code@0ےےےےsource error out"@Offset after Write (Records)0@2ےےےے'New File Path (Not A Path if cancelled)@@P@!status @code@0ےےےےsourceerror in (no error)"@!Append to File? (new file:F)ô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)Transfer Function Model$@2ےےےےFile Path (dialog if empty)PTH0gaddonsControl Design_Model ConstructionModel File IO.llbcd_Write Model to File (TF).viCODECDTKبLVINRead From Spreadsheet File.viےےےے¼ًx @!EOF?@mark after read (chars.)@@ےےےے first row@@ےےےےےےےے all rows@0ےےےےdelimiter (Tab)0@2ےےےے'new file path (Not A Path if cancelled)@!transpose (no:F)@0ےےےے format (%.3f)&@ max characters/row (no limit:0)$@start of read offset (chars.:0)@number of rows (all:-1)$@2ےےےےfile path (dialog if empty)PTH0;Utilityfile.llbRead From Spreadsheet File.viMLVINSI Remove Trend (SISO Array).viےےےے,ًx + 6@P@!status @code@0ےےےےsource error outP@P"@@ےےےے@ stimulusstimulus"@@ےےےے@ stimulusresponsemean"@@ےےےے response signal out"@@ےےےے stimulus signal out´@P&@@ےےےے@ Numericstimulus slope*@@ےےےے@ Numericstimulus intercept&@@ےےےے@ Numericresponse slope*@@ےےےے@ Numericresponse interceptlinear trend @@ےےےےpiecewise points@@P@!status @code@0ےےےےsourceerror in (no error)@ trend type"@@ےےےے response signal in"@@ےےےے stimulus signal inPTH0]addonsSystem IdentificationData Preprocess.llbSI Remove Trend (SISO Array).virSYIDSYID€ً.آ.آPù cP P d-`@ P@€@€@€@0ےےےےString@ P@€@€@€@0ےےےےString< P@€@€@€@ Numeric P < P@€@€@€@ Numeric P P ٹ P@€@€@€Z@P @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayCluster< P@€@€@€@ Numeric P < P@€@€@€@ Numeric P P c8,P"@P@flg@oRt@eofudf¤PPü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties~@@ےےےےےےےےZ@P @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)"Estimated Transfer Function, Hp(z)کpPZP0ےےےے@ےےےے0ےےےے@ےےےے0ےےےے@ےےےے @ےےےے 0ےےےے4@ےےےےےےےے&P@ےےےے @ےےےے dfdکPPZP0ےےےے@ےےےے0ےےےے@ےےےے0ےےےے@ےےےے @ےےےے 0ےےےے4@ےےےےےےےے&P@ےےےے @ےےےے txdکPPZP0ےےےے@ےےےے0ےےےے@ےےےے0ےےےے@ےےےے @ےےےے 0ےےےے4@ےےےےےےےے&P@ےےےے @ےےےے oldکPPZP0ےےےے@ےےےے0ےےےے@ےےےے0ےےےے@ےےےے @ےےےے 0ےےےے4@ےےےےےےےے&P@ےےےے @ےےےے ext P c4hP"@P@flg@oRt@eofudf PUser-selected model order:pdfdPtxdPoldPext c,XP"@P@flg@oRt@eofudfP! stop_estimx!dfdP!txdP!oldP!ext P P cVP"@P@flg@oRt@eofudfP max_orderpdfdPtxdPoldPext c dP"@P@flg@oRt@eofudfPSuggested optimal orderpdfdPtxdPoldPext c ژP"@P@flg@oRt@eofudfP@ےےےے singular valuesp@ےےےے dfdP@ےےےے txdP@ےےےے oldP@ےےےے extb P @ےےےےP b P @ےےےےP j Pp@ےےےےfP0ےےےے@ےےےےPP!!!!l@ےےےےbP0ےےےے !!!$@ےےےےP0ےےےے!!!B@ےےےے8PP c\P"@P@flg@oRt@eofudfP!Detrend_selectp!dfdP!txdP!oldP!extj Pp@ےےےےfP0ےےےے@ےےےےPP!!!!l@ےےےےbP0ےےےے !!!$@ےےےےP0ےےےے!!!B@ےےےے8PP cھP"@P@flg@oRt@eofudf*P@ےےےےےےےے Logged and simulated yx@ےےےےےےےے dfdP@ےےےےےےےے txdP@ےےےےےےےے oldP@ےےےےےےےے extb P @ےےےےP b P @ےےےےP c pP"@P@flg@oRt@eofudfP3ےےےےEstimated Hp(z)p3ےےےےdfdP3ےےےےtxdP3ےےےےoldP3ےےےےext0(P*P0ےےےے0ےےےے2ےےےے0ےےےے4 P@€@€@€ P 4 P@€@€@€ c †P"@P@flg@oRt@eofudfP@ےےےے Array tx@ےےےے dfdP@ےےےے txdP@ےےےے oldP@ےےےے ext P c’P"@P@flg@oRt@eofudf"P@ےےےےTime series lengthx@ےےےےdfdP@ےےےےtxdP@ےےےےoldP@ےےےےext4 P@€@€@€ P 4 P@€@€@€ P c(†P"@P@flg@oRt@eofudfP@ےےےے Array ux@ےےےے dfdP@ےےےے txdP@ےےےے oldP@ےےےے ext c †P"@P@flg@oRt@eofudfP@ےےےے Array yx@ےےےے dfdP@ےےےے txdP@ےےےے oldP@ےےےے ext c hP"@P@flg@oRt@eofudfP2ےےےےlogfilep2ےےےےdfdP2ےےےےtxdP2ےےےےoldP2ےےےےext0 P*P0ےےےے0ےےےے2ےےےے0ےےےے cvP"@P@flg@oRt@eofudfP2ےےےےModel saved in file:p2ےےےےdfdP2ےےےےtxdP2ےےےےoldP2ےےےےext P cRP"@P@flg@oRt@eofudf P h [s]x dfdP txdP oldP ext ` x" P@ےےےے@ےےےے" P@ےےےے@ےےےےZ P$@ےےےےP@ےےےے0ےےےےP" P@ےےےے@ےےےےh trend type" P@ےےےے@ےےےےJ`P@! D matrix?@! K matrix?@!initial states?structure selector" P@ےےےے@ےےےےhIndeks for dim 1`Disabled Index (col)`Disabled Index (col)`Indeks for dim 1`Indeks for dim 1 c c$ cہ c $@2ےےےےFile Path (dialog if empty)! c ƒ@@ےےےے all rowsƒ 6@P@!status @code@0ےےےےsource error out c@millisecond multiple"@Offset after Write (Records)0@2ےےےے'New File Path (Not A Path if cancelled) c ƒ@2ےےےےlogfile&ƒ"@@ےےےےTime series length"ƒ@2ےےےےModel saved in file:ƒ@ max_order$ƒ @User-selected model order:ƒ@! stop_estim"@!Append to File? (new file:F) cƒ@!Detrend_select@@P@!status @code@0ےےےےsourceerror in (no error) cƒ@@ےےےے all rows @!EOF? c@ےےےے$@2ےےےےfile path (dialog if empty)@number of rows (all:-1)$@start of read offset (chars.:0)@0ےےےے format (%.3f)@@ےےےےےےےے all rows&@ max characters/row (no limit:0)@mark after read (chars.)@0ےےےےdelimiter (Tab)@@ےےےے first row@!transpose (no:F) c0@2ےےےے'new file path (Not A Path if cancelled)ƒ@@ےےےے all rows c6@P@!status @code@0ےےےےsource error out cّƒô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)transfer function model@@P@!status @code@0ےےےےsourceerror in (no error) c@Input (column)@Output (row)6@P@!status @code@0ےےےےsource error out c,@P @Width@HeightDraw Area Sizeƒ@3ےےےےEquation@@P@!status @code@0ےےےےsourceerror in (no error) c´@P&@@ےےےے@ Numericstimulus slope*@@ےےےے@ Numericstimulus intercept&@@ےےےے@ Numericresponse slope*@@ےےےے@ Numericresponse interceptlinear trend @@ےےےےpiecewise points@@P@!status @code@0ےےےےsourceerror in (no error) c"@@ےےےے response signal inى@ٌ½@ذ¹si_generic model.ctl¼P$@P@0ےےےےversion¦@ٌ½@ذگSI Model Type.ctl€ UndefinedAR ARX (SISO) ARX (MISO) ARX (MIMO)ARMAX (SISO)ARMAX (MISO)Output-Error (SISO)Output-Error (MISO)Box-Jenkins (SISO)Box-Jenkins (MISO)General Linear (SISO)General Linear (MISO)State-Space (SISO)State-Space (MISO)State-Space (MIMO)Transfer Function (SISO)Transfer Function (MISO)Transfer Function (MIMO)Pole-Zero (SISO)Pole-Zero (MISO)Pole-Zero (MIMO) model type&@@ےےےے@0ےےےےStringinput names(@@ےےےے@0ےےےےStringoutput names@0ےےےےnotes attributesŒ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dcoefficientsژ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dstd deviations6@@ےےےےےےےےےےےے@ Numericcoefficients covariance*@@ےےےےےےےے@ Numericnoise variance@ fs @P@number of inputs@number of outputs"@@ےےےےےےےے@B orderA order"@@ےےےےےےےے@B orderB order"@@ےےےےےےےے@B orderF order"@@ےےےےےےےے@B orderC order"@@ےےےےےےےے@B orderD order"@@ےےےےےےےے@B orderDelayssystem info@@ےےےےےےےے kalman gain$@@ےےےے@ Numeric initial statel@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO) trans funcv@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-polesr@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-polest@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)trans func (noise)z@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func (noise)~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-poles (noise)†@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-poles (noise)system model out cb@P@@ےےےےےےےے A@@ےےےے B@@ےےےے C@ D!coefficients of state-space model6@P@!status @code@0ےےےےsource error out c@ trend typeP@P"@@ےےےے@ stimulusstimulus"@@ےےےے@ stimulusresponsemean6@P@!status @code@0ےےےےsource error out c@ےےےے &@@ےےےے@ Numericinitial states! c@ےےےے @@ےےےے noise c@ sampling rate@@ےےےے stimulus signal"@@ےےےے@ NumericKalman gain@@P@!status @code@0ےےےےsourceerror in (no error) c@!measured only? 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Eّ‹Eü‹=„2‹‰E°üےےے‹‰M¼‰M¬üےےے‹‰M¸¹¯M¬‰M¬éاE¸اE¼چE¸‰E¤‹E‹QRPچE¤‡$ےuّhPچ€ذ‡$èيآôْچd$ZY=„éa‹Eّ‹=„‹‰E¨P‹E¸‰EہXé+P‹E°‰E´XP‹E¼‰EؤXéگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگگP‹E´‰E XP‹E¨‰EœXQRhhےuœhP‹E ‹‰D$XhèâEôْچd$ZY=„é–¸E ¸EœQRhhےuœhP‹E ‹‰D$Xhè“Eôْچd$ZY=„éG¸E ¸Eœ‹}œ‹u ¥¥ƒE´ƒE¨ƒmؤƒ}ؤڈ4ےےے‹E¬E°ƒmہƒ}ہڈث‏ےے¸_^ZY[ةأگےuPچ‡$Pچ‡$èْےےچd$_^ZY[]أگU‹l$SQRVW‹t$ ¸ٹ¾ہٹچ½¾ة0ب<„ئ…°¸é}U‹l$SQRVW‹|$ ¸¸ٹ¾ہٹچ½¾ة<„¸€ù„ QRhPhh(9hPچ…¼‡$Pچ…°‡$hUèهûچd$$ZY_^ZY[]أگU‹l$SQRVW‹u¸ ہW‰F¸اW‰F¸¾ئW‰F¸ٍ½W‰F$¸W–W‰F@¸خW‰FDQRhUè£±Hûچd$ZY_^ZY[]أگXا1 f ëüZٍOüŒôûژٍmٍw°ں°~û³ ê £عZ°–+ث½ه'ك;عH¯`ـ{فژغ£كة«°}°ٍ°ںْ؛°F°؟±&*´ھ0·غ0ؤ1إ|12‏¬2[3‏ٍ3W4¦4‏4ں5‎j6¹6ٌ7خI8¾–Wےےےے\½ E%%Q-&َ%غ&،&ا"#O'‰''ر$—$;#<¹%%]$u#g&#$¯#é#'أ'1!k!¥!ك!÷ "چ"S"88!8)81898%‚لµ«j‌Dِ”®بâü0Jd~ک²جو4Nh‚œ¶ذê 8 B _ &(f(«(ë(+)k)«)è)CODEبإىuنب€ à:%€7.1Oldest compatible LabVIEW. •طRà|R‏\Qmp..p(PPP¤@Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties~@@ےےےےےےےےZ@P @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)"Estimated Transfer Function, Hp(z)@! stop_estim @User-selected model order:@ max_order@Suggested optimal order@@ےےےے singular values@!Detrend_select*@@ےےےےےےےے Logged and simulated y@3ےےےےEstimated Hp(z)@@ےےےے Array t"@@ےےےےTime series length@@ےےےے Array u@@ےےےے Array y@2ےےےےlogfile@2ےےےےModel saved in file: @ h [s]ےےاأLab Title: Second order system This lab is a part of SYSLAB (Dynamic Systems Virtual Lab), which consists of a number of virtual labs implemented in LabView. The labs in SYSLAB can be downloaded from http://www-pors.hit.no/~finnh/syslab/, and can be used freely. -------------------------------------------------------------------------------- 2000, Finn Haugen, Telemark University College, Norway Finn.Haugen@hit.no, http://www-pors.hit.no/~finnh%.0f%.0f%.0f%.4f%.0f%.4f %#.6p%.0f%.0f%.0f %#_3g%.0f %#_3g%.4f%.0f%.0f%.0f%#_g%#_g%.0f%#_g%.0f%.3f%.0f%.0f%.0f%.3f%.0f%.3f%.2f%.0f %#_15g%.0f%.0f%.0f%.0f%.0f%.0f€ےےےے€€€€€†‰@„Sdٌ‚TJ©‰QH©†&&©€ €@€€ˆ@€@‰ةکٹUPٹQP‰حH€€€€€€€€€ےےےےےےےےےےےےےےےےےےےےًًًًًًًًًًےًےےًًًًًًًًًًًًًًًًًًًًًًًًًًًًًًًًےًًًًًًًًًًًےےًًًًًًًًًًےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےےے[hDTHPDtقR88[`[g¤~WpFƒ6@P@!status @code@0ےےےےsource error out ƒ@@ےےےے noiserƒb@P@@ےےےےےےےے A@@ےےےے B@@ےےےے C@ D!coefficients of state-space model:ƒ*@@ےےےےےےےے Logged and simulated yّƒى@ٌ½@ذ¹si_generic model.ctl¼P$@P@0ےےےےversion¦@ٌ½@ذگSI Model Type.ctl€ UndefinedAR ARX (SISO) ARX (MISO) ARX (MIMO)ARMAX (SISO)ARMAX (MISO)Output-Error (SISO)Output-Error (MISO)Box-Jenkins (SISO)Box-Jenkins (MISO)General Linear (SISO)General Linear (MISO)State-Space (SISO)State-Space (MISO)State-Space (MIMO)Transfer Function (SISO)Transfer Function (MISO)Transfer Function (MIMO)Pole-Zero (SISO)Pole-Zero (MISO)Pole-Zero (MIMO) model type&@@ےےےے@0ےےےےStringinput names(@@ےےےے@0ےےےےStringoutput names@0ےےےےnotes attributesŒ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dcoefficientsژ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dstd deviations6@@ےےےےےےےےےےےے@ Numericcoefficients covariance*@@ےےےےےےےے@ Numericnoise variance@ fs @P@number of inputs@number of outputs"@@ےےےےےےےے@B orderA order"@@ےےےےےےےے@B orderB order"@@ےےےےےےےے@B orderF order"@@ےےےےےےےے@B orderC order"@@ےےےےےےےے@B orderD order"@@ےےےےےےےے@B orderDelayssystem info@@ےےےےےےےے kalman gain$@@ےےےے@ Numeric initial statel@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO) trans funcv@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-polesr@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-polest@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)trans func (noise)z@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func (noise)~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-poles (noise)†@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-poles (noise)system model outƒ6ƒ&@@ےےےے@ Numericinitial states$ƒ@@ےےےے response2ƒ"@@ےےےے@ NumericKalman gain"ƒ@ sampling ratejƒZًx + 6@P@!status @code@0ےےےےsource error outP@P"@@ےےےے@ stimulusstimulus"@@ےےےے@ stimulusresponsemean"@@ےےےے response signal out"@@ےےےے stimulus signal out´@P&@@ےےےے@ Numericstimulus slope*@@ےےےے@ Numericstimulus intercept&@@ےےےے@ Numericresponse slope*@@ےےےے@ Numericresponse interceptlinear trend @@ےےےےpiecewise points@@P@!status @code@0ےےےےsourceerror in (no error)@ trend type"@@ےےےے response signal in"@@ےےےے stimulus signal inƒ@ trend typeƒ@ےےےے ƒ!Lƒ@@P@!status @code@0ےےےےsourceerror in (no error) ƒ@!Detrend_selectZƒJ@P@! D matrix?@! K matrix?@!initial states?structure selector$ƒ@3ےےےےEstimated Hp(z)ƒ°ƒ¤@Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties~@@ےےےےےےےےZ@P @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)"Estimated Transfer Function, Hp(z)ƒô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)Transfer Function Modelƒü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties"ƒ@Output (row) ƒ@Input (column)ƒ"ƒ@ےےےےےےےے &ƒ@number of states.ƒ@@ےےےے response signal.ƒ@@ےےےے stimulus signal"ƒ@3ےےےےEquationـƒذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes,ƒ @@ےےےےpiecewise pointsٹƒzًx @!EOF?@mark after read (chars.)@@ےےےے first row@@ےےےےےےےے all rows@0ےےےےdelimiter (Tab)0@2ےےےے'new file path (Not A Path if cancelled)@!transpose (no:F)@0ےےےے format (%.3f)&@ max characters/row (no limit:0)$@start of read offset (chars.:0)@number of rows (all:-1)$@2ےےےےfile path (dialog if empty) ƒ@0ےےےے Model name6ƒ&@@ےےےے@0ےےےےStringInput names0ƒ$@2ےےےےfile path (dialog if empty)(ƒ@number of rows (all:-1)0ƒ$@start of read offset (chars.:0)6ƒ&@ max characters/row (no limit:0)&ƒ@0ےےےے format (%.3f)&ƒ@!transpose (no:F)<ƒ0@2ےےےے'new file path (Not A Path if cancelled)(ƒ@@ےےےے std deviationƒ &ƒ ًx 6@P@!status @code@0ےےےےsource error out@@ےےےے std deviation@@ےےےے response@ sampling rate@@P@!status @code@0ےےےےsourceerror in (no error)@@ےےےے@ Numericnoise&@@ےےےے@ Numericstimulus signalè@ٌ½@ذ¹si_generic model.ctl¼P$@P@0ےےےےversion¦@ٌ½@ذگSI Model Type.ctl€ UndefinedAR ARX (SISO) ARX (MISO) ARX (MIMO)ARMAX (SISO)ARMAX (MISO)Output-Error (SISO)Output-Error (MISO)Box-Jenkins (SISO)Box-Jenkins (MISO)General Linear (SISO)General Linear (MISO)State-Space (SISO)State-Space (MISO)State-Space (MIMO)Transfer Function (SISO)Transfer Function (MISO)Transfer Function (MIMO)Pole-Zero (SISO)Pole-Zero (MISO)Pole-Zero (MIMO) model type&@@ےےےے@0ےےےےStringinput names(@@ےےےے@0ےےےےStringoutput names@0ےےےےnotes attributesŒ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dcoefficientsژ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dstd deviations6@@ےےےےےےےےےےےے@ Numericcoefficients covariance*@@ےےےےےےےے@ Numericnoise variance@ fs @P@number of inputs@number of outputs"@@ےےےےےےےے@B orderA order"@@ےےےےےےےے@B orderB order"@@ےےےےےےےے@B orderF order"@@ےےےےےےےے@B orderC order"@@ےےےےےےےے@B orderD order"@@ےےےےےےےے@B orderDelayssystem info@@ےےےےےےےے kalman gain$@@ےےےے@ Numeric initial statel@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO) trans funcv@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-polesr@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-polest@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)trans func (noise)z@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func (noise)~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-poles (noise)†@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-poles (noise)system model$ƒ@0ےےےےdelimiter (Tab)(ƒ@@ےےےےےےےے all rows$ƒ@@ےےےے first row.ƒ@mark after read (chars.)ƒ @!EOF?*ƒ@Disabled Index (col)(ƒ@@ےےےے@ Numericnoiseƒƒ@0ےےےےString4ƒ(@@ےےےے@0ےےےےStringOutput names0ƒ$@@ےےےے@ NumericInput Delaysƒ@ Numeric0ƒ$@@ےےےے@ Numeric Output Delays"ƒ@ Sampling Timeƒ@0ےےےےNotesژƒ~@@ےےےےےےےےZ@P @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s) ƒ@!initial states?$ƒ@@ےےےے all rows6ƒ&@@ےےےے@ Numericstimulus signalôƒè@ٌ½@ذ¹si_generic model.ctl¼P$@P@0ےےےےversion¦@ٌ½@ذگSI Model Type.ctl€ UndefinedAR ARX (SISO) ARX (MISO) ARX (MIMO)ARMAX (SISO)ARMAX (MISO)Output-Error (SISO)Output-Error (MISO)Box-Jenkins (SISO)Box-Jenkins (MISO)General Linear (SISO)General Linear (MISO)State-Space (SISO)State-Space (MISO)State-Space (MIMO)Transfer Function (SISO)Transfer Function (MISO)Transfer Function (MIMO)Pole-Zero (SISO)Pole-Zero (MISO)Pole-Zero (MIMO) model type&@@ےےےے@0ےےےےStringinput names(@@ےےےے@0ےےےےStringoutput names@0ےےےےnotes attributesŒ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dcoefficientsژ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dstd deviations6@@ےےےےےےےےےےےے@ Numericcoefficients covariance*@@ےےےےےےےے@ Numericnoise variance@ fs @P@number of inputs@number of outputs"@@ےےےےےےےے@B orderA order"@@ےےےےےےےے@B orderB order"@@ےےےےےےےے@B orderF order"@@ےےےےےےےے@B orderC order"@@ےےےےےےےے@B orderD order"@@ےےےےےےےے@B orderDelayssystem info@@ےےےےےےےے kalman gain$@@ےےےے@ Numeric initial statel@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO) trans funcv@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-polesr@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-polest@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)trans func 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(T)è@ٌ½@ذ¹si_generic model.ctl¼P$@P@0ےےےےversion¦@ٌ½@ذگSI Model Type.ctl€ UndefinedAR ARX (SISO) ARX (MISO) ARX (MIMO)ARMAX (SISO)ARMAX (MISO)Output-Error (SISO)Output-Error (MISO)Box-Jenkins (SISO)Box-Jenkins (MISO)General Linear (SISO)General Linear (MISO)State-Space (SISO)State-Space (MISO)State-Space (MIMO)Transfer Function (SISO)Transfer Function (MISO)Transfer Function (MIMO)Pole-Zero (SISO)Pole-Zero (MISO)Pole-Zero (MIMO) model type&@@ےےےے@0ےےےےStringinput names(@@ےےےے@0ےےےےStringoutput names@0ےےےےnotes attributesŒ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dcoefficientsژ@P@@ےےےےےےےےےےےے A@@ےےےےےےےےےےےے B@@ےےےےےےےےےےےے F@@ےےےےےےےےےےےے C@@ےےےےےےےےےےےے Dstd deviations6@@ےےےےےےےےےےےے@ Numericcoefficients covariance*@@ےےےےےےےے@ Numericnoise variance@ fs @P@number of inputs@number of outputs"@@ےےےےےےےے@B orderA order"@@ےےےےےےےے@B orderB order"@@ےےےےےےےے@B orderF order"@@ےےےےےےےے@B orderC order"@@ےےےےےےےے@B orderD order"@@ےےےےےےےے@B orderDelayssystem info@@ےےےےےےےے kalman gain$@@ےےےے@ Numeric initial statel@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO) trans funcv@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-polesr@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-polest@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)trans func (noise)z@@ےےےےےےےےR@P@@ےےےے@ Numericbetas@@ےےےے@ Numericalphastrans func (SISO)std of trans func (noise)~@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)zeros-poles (noise)†@@ےےےےےےےے\@P@@ےےےے@ Numericzeros@@ےےےے@ Numericpoles @ gainzeros-poles (SISO)std of zeros-poles (noise)system model&ƒ@@ےےےے Array t2ƒ"@@ےےےے stimulus signal in2ƒ"@@ےےےے response signal inہƒ´@P&@@ےےےے@ Numericstimulus slope*@@ےےےے@ Numericstimulus intercept&@@ےےےے@ Numericresponse slope*@@ےےےے@ Numericresponse interceptlinear trend2ƒ"@@ےےےے stimulus signal out2ƒ"@@ےےےے response signal out\ƒP@P"@@ےےےے@ stimulusstimulus"@@ےےےے@ stimulusresponsemeanƒ@! 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(new file:F)ô@ٌ%CD Transfer Function Model (MIMO).ctl®Pü@ٌ¼\;CD General Elements.ctlذP@0ےےےے Model name&@@ےےےے@0ےےےےStringInput names(@@ےےےے@0ےےےےStringOutput names$@@ےےےے@ NumericInput Delays$@@ےےےے@ Numeric Output Delays@ Sampling Time@0ےےےےNotes properties¬@@ےےےےےےےےˆ@ٌ%CD Transfer Function Model (SISO).ctlRP @@ےےےے@ Numeric numerator"@@ےےےے@ Numericdenominator @ delayClustertransfer function(s)Transfer Function Model$@2ےےےےFile Path (dialog if empty)2ƒ"@Offset after Write (Records)<ƒ0@2ےےےے'New File Path (Not A Path if cancelled)2ƒ"@!Append to File? (new file:F)0ƒ$@2ےےےےFile Path (dialog if empty).ƒ@2ےےےےModel saved in file:ƒ@2ےےےےlogfileƒ @ h [s]üûè,L¼ô ى ü0¼T„¤(D(T( ہ <Lüü ى$TDTTtکؤD<DDًèDDى ہô$L|°شّ4\l0DD„DT#گ#´#ـ$$,$D$l$D$D$D$”$¤$ہ\$¤$ô\%$%<\%$%l%Œ%¨D$”ہ&4\&T#´$”$”&x&¬/ &T#´\$”/¼0$$”&T#´#´0P0l0l0گ0´\\%$0ؤ\%$0ôL0گ10´\10´0´0´10101L1L1t1 1t<<2x ىèD1t3¤DDDDT3ؤکؤ3ـ44$”4$”$”4,4T4T4p0´4کD$”0´èDD4ب3ـ4?ؤDDDDTDAؤ&¬Aè$”\4کMœMہMً&T0´\MœD&TN NàèOO@ہOœO¸èRب ىS<?ؤ<è1 VDDVtDDDDTV°üVàWWW<DW<&T&TD0l0l&T0´$”0´WXWX$”0´&T0l0l nDs€°s€°!!"Estimated Transfer Function, Hp(z)VD€َچ%€ôچ% propertiesLD€َچْ€ôچْVDWdQWdQ Model nameH€ہîRivِivُزززWأGذ„أHذ„Input namesH€pًRط/هAط1ه@ْْْRاKشhاLشhStringH€XéRـOي©ـQé¨زززXإîز3إïز3Output namesH€$ïRعضçèعطççْْْRةٍضةَضStringH€<ïRقِïPقّëOزززXِI‡ِJ‡Input DelaysH€ شR>P@OْْْSDüT {üU {NumericH€ؤRZ€\زززYِي3ِî3 Output DelaysH€0nQêüىûْْْSD''NumericH€¼mQ','+زززYD$V cNVcN Sampling TimeH€ ,nQivaiv`زززQD•#¢@•$¢@NotesH€xوRھ'آشھ)·سززز`‰B–،‰C–،transfer function(s)H€phQ؛*ا<؛,ا;ْْْH€€hQ‍*«<‍,«;ْْْSDچFڑiچGڑiClusterU¢u¯¨¢v¯¨ numeratorH€DîR·]ؤo·_ؤnْْْSD$¨°µ×¨±µ×NumericH€ TïR·±اç·³ؤوزززWضvم³ضwم³denominatorH€dïRè]ُoè_ُnْْْSD$ظ°و×ظ±و×NumericH€ ôîRè±ّçè³ُوزززQD‎W r‎X rdelayH€ŒًRZ†\…زززfDسيDسيDUser-selected model order:H€ذîRَ.َ-¤ےˆV]ےNjےƒ]ےےےOjےےےƒ stop_estimH$çRsےS€ےnsےےےT€ےےےnUD‍؛«ï‍»«ï max_orderH€ٌR±¾¾ل±ہ¾àْْْN€ےٍےے<ےےےٍ ےےےے;0.[‘ےO‍ے—‘ےےےP‍ےےے—singular valuescDس¹يùس؛يùSuggested optimal orderH€îRَ½âَ؟لزززdD$.ےّ;r.ےےےù;rOrder (number of states)HD$گوRi,pj,pU D$اے®÷ے»ظےےے‌وےےےج AmplitudeHDL†Q¹ےإئےز¹ےےےئئےےےزa€ےOےےےRےہˆSystem identificationfD@ےPLےآ@ےےےQLےےےآFinn Haugen, April 22 2005HD$ôhQ?ôL/?ُL/ZD&ع3$&غ3$Detrend_select{D µ4 ¶4 ///Detrend u and y before estimation (recommended)WD^ءkü^آküNot detrendm€—&¤E—(¤D!!!Simulated y using estimated modelbDہےiحےغہےےےjحےےےغLogged and simulated yYD$ˆ•Tˆ•T Time step no.HD$€èRy’†¥y“†¥U D$ے†<ے“ےےےu+ےےے¤ AmplitudeHDhuQèے›ُے¢èےےےœُےےے¢[DLےکYےهLےےے™Yےےےه Estimated Hp(z)¦„ے™‍½„ےےےڑ‍½66ZSuggestion of model order: Select order which has the significantly higher singular value H´†Q‎€;‎چMےے‎€<ےے‎گMْْْS‎mS‎zvےے‎mTےے‎zvArray tHب†Q‎„[‎‘‡ےے‎„\ےے‎”‡زززN‎qW‎~^ےے‎qXےے‎~^ ^Dآ^ّDأ^ّTime series lengthH lQdھq¼d«t¼ْْْNUئbحUاbح H(lQhتuâhثxâزززS‎mر‎zِےے‎mزےے‎zِArray uHًgQ‎€¹‎چثےے‎€؛ےے‎گثْْْN‎qص‎~ـےے‎qضےے‎~ـ HœjQ‎„ظ‎‘ےے‎„عےے‎”زززS‎nH‎{mےے‎nIےے‎{mArray yHpkQ‎پ0‎ژBےے‎پ1ےے‎‘BْْْN‎rL‎Sےے‎rMےے‎S H`kQ‎…P‎’|ےے‎…Qےے‎•|زززkDSےS`ےلSےےےT`ےےےلLog file containing time-seriesSDaے0nےMaےےے1nےےےMlogfileH€ذfQfے`vŒfےےےbs‹ْْْ`D‍ےh«ےإ‍ےےےi«ےےےإModel saved in file:H€ThQ±ےu¾ج±ےےےw¾ثْْْ ¸DےN9NےےےO9N55lA discrete-time transfer function model is estimated from time-series of input signal u and output signal y.QDeçr‏eèr‏h [s]H€@hQiv%ii$زززcD<c+<c+Sampling interval h [s]SپD‏چ-‏ڑPےے‏چ/ےے‏ڑOےے×fs [Hz]lپD‎فà‎ê‚ےے‎فâےے‎êپےےے SI Estimate State-Space Model.vibپD‏T>‏a©ےے‏T@ےے‏a¨ےےےSI Model Simulation.viH†Dؤ§R‏‏ (ےے‏€ےے‏ (ےےے{پD‎ï?‎ü*ےے‎ïAےے‎ü)ےےے/SI Convert to Transfer Function Model of CDT.viH†DœًR‏7ہ‏Qےے‏7ءےے‏QےےےH€DذhQ‎†'‎“qےے‎†(ےے‎“qےےےH€Dü…Q‎i‎؛±ےے‎jےے‎؛±ےےےH†DنîR‏ذن‏فےے‏ذهےے‏فےےے gپD‏¯©‏¼+ےے‏¯«ےے‏¼*ےےےWait Until Next ms MultipleHDگ‘R‏ضT‏مmےے‏ضUےے‏مmےےےH€D°هR‏آ]‏دpےے‏آ_ےے‏دoےےےMپD‏²h‏؟qےے‏²jےے‏؟pےےےxqپD‎ŒA‎™üےے‎ŒCےے‎™ûےےے%SI Estimate Orders of System Model.viHپD$(×R‎½'‎×lےے‎½)ےے‎×kےےےH†DًR‎²‎؟7ےے‎²ےے‎؟7ےےےH‚D|çR‎¦µ‎ہُےے‎¦¶ےے‎ہُےےے HپD$\فR‏…(‏’eےے‏…*ےے‏’dےےے^پD‎‏G‏©ےے‎‏Iےے‏¨ےےےSI Remove Trend.viVپD‏)9‏6oےے‏);ےے‏6nےےے trend typeHپD8ھR‏9F‏Fcےے‏9Hےے‏FbےےےH€DجفR‏JE‏WNےے‏JGےے‏WMےےےRE‎ن`‎ٌپےے‎نaےے‎ٌپےےے True H€D¸èR‏u؛‏‚,ےے‏u»ےے‏‚,ےےےWپD‏>ئ‏K‎ےے‏>بےے‏KüےےےBuild ArraycپD‎J‎W‘ےے‎J!ےے‎WگےےےWhile Loop - EstimationH‚D€‡Q‏¾‹‏ثطےے‏¾Œےے‏ثطےےے qپD‏«T‏¸ےے‏«Vےے‏¸ےےے%CD Draw Transfer Function Equation.viHپD$DmQ‏ـU‏édےے‏ـWےے‏écےےے^پD‎_^‎l¶ےے‎_`ےے‎lµےےےstructure selectorUپD‎qr‎~¢ےے‎qtےے‎~،ےےے D matrix?UپD‎گr‎‌،ےے‎گtےے‎‌ ےےے K matrix?[پD‎®r‎»³ےے‎®tےے‎»²ےےےinitial states?H†DبfQü¼^üة{ےےü¼_ےےüة{ےےےeپDےJے أےےےLےےے آےےےCD Write Model to File.viHپD$0سRے1Kے>Zےےے1Mےےے>YےےےH†Dً†Qü›aü¨„ےےü›bےےü¨„ےےےH€DœfQüWüqOےےüWےےüqOےےےH†D4lQüز]üك‚ےےüز^ےےüك‚ےےےH†DؤjQ‎ `‎…ےے‎ aےے‎…ےےے\Dü ¹üےےü ؛ےےüےےےIndeks for dim 1HD¨شRü°‏ü½ےےü°ےےےü½ےےےWDü‰ü–Oےےü‰ےےü–OےےےIndex ArrayWDüہüحRےےüہےےüحRےےےIndex ArrayWDüû‎Uےےüûےے‎UےےےIndex Array`Düéüِ ےےüé®ےےüِ ےےےDisabled Index (col)HD\ظRüù‎ےےüùےے‎ےےے`D‎°‎ےے‎±ےے‎ےےےDisabled Index (col)HDpظR‎!‎.ےے‎! 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