To interpolate your three 4×4 matrices A₁, A₂, A₃ over speeds 0, 8, 15 m/s using Simulink’s Matrix Interpolation block, follow these steps:
- Concatenate matrices into "TableData(:,:,1:3)".
- Use breakpoints [0 8 15], "InterpolateDimension = 1", Linear + Clip.
- Use "Prelookup" to compute "k1/f1" from speed.
- Connect "Prelookup" outputs to "Matrix Interpolation block" for element‑wise interpolation.
The sample code to reflect the above steps is:
%% Define breakpoints and dummy matrices
speeds = [0, 8, 15];
A1 = [0 1 2 3; 1 2 3 4; 2 3 4 5; 3 4 5 6];
A2 = [6 5 4 3; 5 4 3 2; 4 3 2 1; 3 2 1 0];
A3 = [1 1 1 1; 2 2 2 2; 3 3 3 3; 4 4 4 4];
TableData = cat(3, A1, A2, A3); % => size 4×4×3
%% Create Simulink model
model = 'interpMatrixDemo';
new_system(model);
open_system(model);
% Add blocks
add_block('simulink/Sources/In1', [model '/Speed']);
add_block('simulink/Lookup Tables/Prelookup', [model '/Prelookup']);
add_block('simulink/Lookup Tables/Interpolation Using Prelookup', [model '/MatrixInterp']);
add_block('simulink/Sinks/Out1', [model '/Out']);
% Wire up
add_line(model,'Speed/1','Prelookup/1');
add_line(model,'Prelookup/1','MatrixInterp/1'); % k1 (index)
add_line(model,'Prelookup/2','MatrixInterp/2'); % f1 (frac)
add_line(model,'MatrixInterp/1','Out/1');
% Configure Prelookup
set_param([model '/Prelookup'], ...
'BreakpointsSpecification','Explicit values', ...
'BreakpointsValues','[0 8 15]', ...
'OutputSelection','Index and fraction', ...
'ExtrapMethod','Clip');
% Configure Matrix Interpolation
set_param([model '/MatrixInterp'], ...
'NumberOfTableDimensions','1', ...
'TableSpecification','Explicit values', ...
'TableSource','Dialog', ...
'TableValue',mat2str(TableData), ...
'InterpMethod','Linear', ...
'ExtrapMethod','Clip');
% Save model
save_system(model);
open_system(model);
You may refer to the below documentation links to know more about the same:
- https://www.mathworks.com/help/simulink/ref_extras/matrixinterpolation.html
- https://www.mathworks.com/matlabcentral/answers/2104521-any-good-resources-on-how-to-use-matrix-interpolation-block-in-simulink
I hope this helps!
