Create and Apply Constraints

This example shows how to create and apply constraints to a design using Model-Based Calibration Toolbox™ command-line interface.

Create a Design

Create a Full Factorial design, because this will show the constraint boundaries as clearly as possible. Create the design from inputs. For simplicity, only 2 inputs (speed and load) are used.

inputs = mbcmodel.modelinput(...
    'Symbol', {'N','L'},...
    'Name',   {'SPEED','LOAD'},...
    'Range',  {[500 6000],[0.0679 0.9502]});

design = CreateDesign( inputs, 'Type', 'Full Factorial' );
design = Generate( design, 'NumberOfLevels', [50 50] );
% design has a Constraints property, initially this is empty.
constraints = design.Constraints

constraints = 

Create a Linear Constraint

cLinear = CreateConstraint( design, 'Type', 'Linear' );
cLinear.A = [-2.5e-4, 1];
cLinear.b = 0.25;
cLinear

cLinear = 
Linear design constraint: -0.00025*N + 1*L <= 0.25

design.Constraints = cLinear;
design = Generate(design);

Show Constraint

Plot the points to show the linear constraint.

Scatter2D(design, 1, 2);
title( 'Linear Constraint' );

Create a 1D Table Constraint

cTable1d = CreateConstraint( design, 'Type', '1D Table' );
cTable1d.Table = [0.9 0.5];
cTable1d.Breakpoints = [500 6000];
cTable1d

cTable1d = 
1D Table design constraint: L(N) <= Lmax

design.Constraints = cTable1d;
design = Generate(design);

Show Constraint

Plot the points to show the 1D Table constraint.

Scatter2D( design, 1, 2 );
title( '1D Table Constraint ' );

Combining Constraints

Constraints is an array of the constraints to apply.

design.Constraints = [cLinear, cTable1d];
constraints = design.Constraints

constraints = 
Linear design constraint: -0.00025*N + 1*L <= 0.25
1D Table design constraint: L(N) <= Lmax

design = Generate(design);

Show Constraint

Plot the points to show both constraints.

Scatter2D( design, 1, 2 );
title( 'Linear and 1D Table Constraint ' );