📄 sysmdl_i.mdl
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Model { Name "sysmdl_i" Version 2.00 SimParamPage Solver SampleTimeColors off WideVectorLines on PaperOrientation landscape StartTime "0.0" StopTime "10.0" Solver ode5 RelTol "1e-3" AbsTol "1e-6" Refine "1" MaxStep "auto" InitialStep "auto" FixedStep "0.1" MaxOrder 5 OutputOption RefineOutputTimes OutputTimes "[]" LoadExternalInput off ExternalInput "[t, u]" SaveTime on TimeSaveName "tout" SaveState on StateSaveName "xout" SaveOutput off OutputSaveName "yout" LoadInitialState off InitialState "xInitial" SaveFinalState off FinalStateName "xFinal" LimitMaxRows off MaxRows "1000" Decimation "1" AlgebraicLoopMsg warning MinStepSizeMsg warning UnconnectedInputMsg warning UnconnectedOutputMsg warning UnconnectedLineMsg warning ConsistencyChecking off ZeroCross on BlockDefaults { Orientation right ForegroundColor black BackgroundColor white DropShadow off NamePlacement normal FontName "Helvetica" FontSize 10 FontWeight normal FontAngle normal ShowName on } AnnotationDefaults { HorizontalAlignment center VerticalAlignment middle ForegroundColor black BackgroundColor white DropShadow off FontName "Helvetica" FontSize 10 FontWeight normal FontAngle normal } System { Name "sysmdl_i" Location [309, 128, 806, 413] Open on ScreenColor white Block { BlockType SubSystem Name "Cart \nModel" Position [315, 25, 400, 75] ShowPortLabels on System { Name "Cart \nModel" Location [166, 276, 637, 637] Open off ScreenColor white Block { BlockType Inport Name "thrust \nin" Position [15, 175, 35, 195] Port "1" PortWidth "-1" SampleTime "-1" } Block { BlockType Mux Name "Compose\noutput\nvector" Position [360, 138, 385, 197] Inputs "4" } Block { BlockType Fcn Name "Compute\ntheta_dot_dot" Position [120, 288, 185, 322] Orientation left Expr "-(cos(u(5))*sin(u(5))*m*l*u(4)*u(4)-m*g*sin(" "u(5))+u(3)*cos(u(5))-g*M*sin(u(5)))/(l*(M+m*" "sin(u(5))*sin(u(5))))" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Fcn Name "Compute\nx_dot_dot" Position [120, 13, 185, 47] Orientation left Expr "(m*l*sin(u(5))*u(4)*u(4)-m*cos(u(5))*g*sin(u" "(5))+u(3))/(M+m*sin(u(5))*sin(u(5)))" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Mux Name "Mux" Position [205, 128, 245, 242] Inputs "5" } Block { BlockType Integrator Name "theta" Position [145, 224, 165, 266] ExternalReset none InitialConditionSource internal InitialCondition "0" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Integrator Name "theta_dot" Position [80, 224, 100, 266] ExternalReset none InitialConditionSource internal InitialCondition "0" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Integrator Name "x" Position [140, 79, 160, 121] ExternalReset none InitialConditionSource internal InitialCondition "0" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Integrator Name "x_dot" Position [80, 79, 100, 121] ExternalReset none InitialConditionSource internal InitialCondition "0" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Outport Name "state \nout" Position [410, 160, 430, 180] Port "1" OutputWhenDisabled held InitialOutput "0" } Line { SrcBlock "thrust \nin" SrcPort 1 DstBlock "Mux" DstPort 3 } Line { SrcBlock "theta" SrcPort 1 Points [10, 0; 0, 0] Branch { Points [0, 20; 125, 0; 0, -90] DstBlock "Compose\noutput\nvector" DstPort 3 } Branch { Points [0, -20] DstBlock "Mux" DstPort 5 } } Line { SrcBlock "x" SrcPort 1 Points [10, 0; 0, 0] Branch { Points [155, 0; 0, 45] DstBlock "Compose\noutput\nvector" DstPort 1 } Branch { Points [0, 45] DstBlock "Mux" DstPort 1 } } Line { SrcBlock "Compose\noutput\nvector" SrcPort 1 DstBlock "state \nout" DstPort 1 } Line { SrcBlock "Mux" SrcPort 1 Points [20, 0] Branch { Points [0, 120] DstBlock "Compute\ntheta_dot_dot" DstPort 1 } Branch { Points [0, -155] DstBlock "Compute\nx_dot_dot" DstPort 1 } } Line { SrcBlock "Compute\ntheta_dot_dot" SrcPort 1 Points [-65, 0; 0, -60] DstBlock "theta_dot" DstPort 1 } Line { SrcBlock "Compute\nx_dot_dot" SrcPort 1 Points [-65, 0; 0, 70] DstBlock "x_dot" DstPort 1 } Line { SrcBlock "x_dot" SrcPort 1 Points [5, 0] Branch { Points [0, -25; 200, 0; 0, 85] DstBlock "Compose\noutput\nvector" DstPort 2 } Branch { Points [0, 65] DstBlock "Mux" DstPort 2 } Branch { DstBlock "x" DstPort 1 } } Line { SrcBlock "theta_dot" SrcPort 1 Points [10, 0; 0, 0] Branch { Points [0, 35; 220, 0; 0, -90] DstBlock "Compose\noutput\nvector" DstPort 4 } Branch { Points [0, -40] DstBlock "Mux" DstPort 4 } Branch { DstBlock "theta" DstPort 1 } } } } Block { BlockType Demux Name "Demux" Position [355, 115, 390, 260] Orientation left Outputs "4" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Gain Name "Error\nGain" Position [190, 25, 220, 55] Gain "KI" } Block { BlockType Integrator Name "Error\nIntegrator" Position [140, 22, 160, 58] ExternalReset none InitialConditionSource internal InitialCondition "0" LimitOutput off UpperSaturationLimit "2" LowerSaturationLimit "-2" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Sum Name "Error\nrate" Position [80, 22, 110, 53] Inputs "+-" } Block { BlockType Scope Name "Scope" Position [445, 90, 475, 120] Floating off Location [631, 307, 955, 546] Open on Grid on TickLabels on ZoomMode on TimeRange "10 " YMin "-1 " YMax "2 " SaveToWorkspace off SaveName "ScopeData" LimitMaxRows on MaxRows "5000" Decimation "1" SampleInput off SampleTime "0" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Step Name "Step" Position [15, 15, 45, 45] Time "1" Before "0" After "1" } Block { BlockType Sum Name "Sum" Position [265, 32, 295, 63] Inputs "+-" } Block { BlockType Sum Name "Sum1" Position [220, 117, 245, 258] Orientation left Inputs "++++" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Gain Name "theta gain" Position [265, 190, 295, 220] Orientation left Gain "k4" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Gain Name "theta_dot gain" Position [310, 225, 340, 255] Orientation left Gain "k3" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Gain Name "x gain" Position [265, 120, 295, 150] Orientation left Gain "k1" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Block { BlockType Gain Name "x_dot gain" Position [310, 155, 340, 185] Orientation left Gain "k2" MaskIconFrame on MaskIconOpaque on MaskIconRotate off MaskIconUnits autoscale } Line { SrcBlock "Error\nrate" SrcPort 1 DstBlock "Error\nIntegrator" DstPort 1 } Line { SrcBlock "Cart \nModel" SrcPort 1 Points [20, 0; 0, 140] DstBlock "Demux" DstPort 1 } Line { SrcBlock "Demux" SrcPort 1 Points [-25, 0] Branch { Points [0, -30] Branch { DstBlock "Scope" DstPort 1 } Branch { Points [-265, 0; 0, -60] DstBlock "Error\nrate" DstPort 2 } } Branch { DstBlock "x gain" DstPort 1 } } Line { SrcBlock "Sum1" SrcPort 1 Points [-20, 0; 0, -95; 50, 0; 0, -40] DstBlock "Sum" DstPort 2 } Line { SrcBlock "x gain" SrcPort 1 DstBlock "Sum1" DstPort 1 } Line { SrcBlock "x_dot gain" SrcPort 1 DstBlock "Sum1" DstPort 2 } Line { SrcBlock "theta gain" SrcPort 1 DstBlock "Sum1" DstPort 3 } Line { SrcBlock "theta_dot gain" SrcPort 1 DstBlock "Sum1" DstPort 4 } Line { SrcBlock "Demux" SrcPort 4 DstBlock "theta_dot gain" DstPort 1 } Line { SrcBlock "Demux" SrcPort 3 DstBlock "theta gain" DstPort 1 } Line { SrcBlock "Demux" SrcPort 2 DstBlock "x_dot gain" DstPort 1 } Line { SrcBlock "Step" SrcPort 1 DstBlock "Error\nrate" DstPort 1 } Line { SrcBlock "Error\nIntegrator" SrcPort 1 DstBlock "Error\nGain" DstPort 1 } Line { SrcBlock "Error\nGain" SrcPort 1 DstBlock "Sum" DstPort 1 } Line { SrcBlock "Sum" SrcPort 1 DstBlock "Cart \nModel" DstPort 1 } Annotation { Position [99, 99] Text "x" } }}
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