ICpTargetAdjustment.CalcWithNonLinConstraints

Syntax

CalcWithNonLinConstraints: Boolean;

Description

The CalcWithNonLinConstraints property determines whether to use non-linear constraints in calculation.

Comments

Available values:

True. Default value. The calculation uses non-linear constraints set by the ICpTargetAdjustment.Constraints property.
False. Non-linear constraints are not used in the calculation.

Example

Add a link to the Cp system assembly.

Sub UserProc;
Var
    TargetAdj: ICpTargetAdjustment;
    T: Integer;
    RetroX1, RetroX2, RetroU, RetroV: Array Of Double;
    InitApproximation, ValuesI, ValuesJ: Array Of Double;
    i, j: Integer;
    VarsP: ITargetPhaseVariablesArray;
    VrblP: ITargetPhaseVariable;
    VarConstrs: IVarTargetConstraintsArray;
    VarConstr: IVarTargetConstraint;
    VarsC: ITargetControlVariablesArray;
    VrblC: ITargetControlVariable;
    Ser: Array[4] Of Double;
    Res: ITargetResults;
    Val: Double;
Begin
    TargetAdj := New TargetAdjustment.Create;
    // Set period
    T := 6;
    // Create variables with retrospective
    RetroX1 := New Double[T];
    RetroX2 := New Double[T];
    RetroU := New Double[T];
    RetroV := New Double[T];
    // Create an array of initial approximations
    InitApproximation := New Double[T];
    // Set initial variable values
    For i := 0 To T - 1 Do
        RetroX1[i] := 0.8 + i / 5;
        RetroX2[i] := 0.85 + i / 4;
        RetroU[i] := 0.9 + i / 10;
        RetroV[i] := 0.95 + i / 10;
    End For;
    // Get phase variables
    VarsP := TargetAdj.PhaseVariables;
    // Add the x1 phase variable
    VrblP := VarsP.Add("x1");
    VrblP.Name := "x1";
    // Set retrospective values
    VrblP.Retrospective := RetroX1;
    // Set order of variables
    VrblP.CoefficientsOrder := "x1[t];x1[t-1]";
    // Get phase variable constraints
    VarConstrs := VrblP.Constraints;
    For i := 0 To T - 1 Do
        // Create a new constraint
        VarConstr := VarConstrs.Add;
        // Set borders
        VarConstr.LowerBound := -10 - i / 100;
        VarConstr.UpperBound := 10 + i / 100;
        // Specify the current moment of time
        VarConstr.TimeMoment := i;
    End For;
    // Set frequency equation
    VrblP.FunctionExpression := "0.3 * x1[t-1] + 0.1 * x2[t-1] + u[t-1] * x1[t-1] *x2[t-1]";
    // Add phase variable x2
    VrblP := VarsP.Add("x2");
    VrblP.Name := "x2";
    VrblP.Retrospective := RetroX2;
    VrblP.CoefficientsOrder := "x2[t];x2[t-1]";
    VarConstrs := VrblP.Constraints;
    For i := 0 To T - 1 Do
        VarConstr := VarConstrs.Add;
        VarConstr.LowerBound := -100-i;
        VarConstr.UpperBound := 100+i;
        VarConstr.TimeMoment := i;
    End For;
    VrblP.FunctionExpression := "(-0.2) * x1[t-1] + 0.4 *x2[t-1] + (x1[t-1] * x2[t-1])/(v[t]+1)";
    // Get controlling variables
    VarsC := TargetAdj.ControlVariables;
    // Add the u controlling variable
    VrblC := VarsC.Add("u");
    VrblC.Name := "u";
    // Set retrospective values
    VrblC.Retrospective := RetroU;
    // Set order of coefficients
    VrblC.CoefficientsOrder := "u[t];u[t-1]";
    // Set values of initial approximations
    For i := 0 To T - 1 Do
        InitApproximation[i] := 1.2 + (i + 1) / 100;
    End For;
    VrblC.InitApproximation := InitApproximation;
    // Get controlling variable constraints
    VarConstrs := VrblC.Constraints;
    For i := 0 To T - 1 Do
        // Add a constraint
        VarConstr := VarConstrs.Add;
        // Set constraint borders
        VarConstr.LowerBound := 1;
        VarConstr.UpperBound := 2;
        // Set the current moment of time
        VarConstr.TimeMoment := i;
    End For;
    // Add controlling variable v
    VrblC := VarsC.Add("v");
    VrblC.Name := "v";
    VrblC.Retrospective := RetroV;
    VrblC.CoefficientsOrder := "v[t];v[t-1]";
    For i:=0 To T-1 Do
        InitApproximation[i] := 1.5+ (i+1)/100;
    End For;
    VrblC.InitApproximation := InitApproximation;
    VarConstrs := VrblC.Constraints;
    For i := 0 To T - 1 Do
        VarConstr := VarConstrs.Add;
        VarConstr.LowerBound := 0.8;
        VarConstr.UpperBound := 7;
        VarConstr.TimeMoment := i;
    End For;

    // Set criterion trajectory
    ser[0] := 1;
    ser[1] := 2;
    ser[2] := 3;
    ser[3] := 4;
    TargetAdj.TargetTrajectory := Ser;
    // Set criterion function
    TargetAdj.CriterionFunction := "x1[t] + x2[t-1] - u[t]";
    // Set number of iterations
    TargetAdj.MaxIterationsCount := 25000;
    // Set accuracy of solution
    TargetAdj.Tolerance := 0.00001;
    // Specify that do not use non-linear constraints in calculation
    TargetAdj.CalcWithNonLinConstraints := False;
    // Set problem type
    TargetAdj.AutoSearchType := TargetAutoSearchType.MinError;
    // Set number of cycles
    TargetAdj.AutoAdjustMaxIter := 10;
    // Set allowed accuracy
    TargetAdj.AutoAdjustSatisfactoryTolerance := 1.01;
    // Set number of constraints removed in one iteration
    TargetAdj.AutoAdjustRemoveCount := 2;
    // Execute calculation
    Res := TargetAdj.Evaluate(T) As ITargetResults;
    // If calculation is executed without errors, display results in the console
    If res.Status = 0 Then
    // Display optimal value
    Debug.WriteLine("Optimal value:");
    Debug.Indent;
    Debug.WriteLine(res.OptimalValue);
    Debug.Unindent;
    // Display controlling variable values
    For j := 1 To VarsC.Count Do
        VrblC := VarsC.Item(j - 1);
        Debug.WriteLine("Controlling variable values '" + VrblC.Id + "':");
        Debug.Indent;
        For i := 1 To T Do
            Val := Res.VarValues(VrblC.Id)[i - 1];
            Debug.WriteLine(i.ToString + ": " + Val.ToString);
        End For;
        Debug.Unindent;
    End For;
    // Display values of phase variables
    For j := 1 To VarsP.Count Do
        VrblP := VarsP.Item(j - 1);
        Debug.WriteLine("Phase variable values '" + VrblP.Id + "':");
        Debug.Indent;
        For i := 1 To T Do
            Val := Res.VarValues(VrblP.Id)[i - 1];
            Debug.WriteLine(i.ToString + ": " + Val.ToString);
        End For;
        Debug.Unindent;
    End For;
    // Display optimal trajectory of criterion function
    Debug.WriteLine("Optimal trajectory of criterion function:");
    Debug.Indent;
    For i := 0 To Res.CriterionFunctionTrajectory.Length - 1 Do
        Debug.WriteLine(Res.CriterionFunctionTrajectory[i]);
    End For;
    Debug.Unindent;
    // If calculation is completed with error, display its text
    Else
        Debug.WriteLine(res.ErrorMsg);
    End If;
End Sub UserProc;

After executing the example optimization problem parameters are set, the problem is calculated, results are displayed in the console.