Aerospace Blockset™

Interpolate Matrix(x,y) - Return interpolated matrix for given inputs

Library

GNC/Controls

Description

The Interpolate Matrix(x,y) block interpolates a two-dimensional array of matrices.

This two-dimensional case assumes the matrix is defined as a function of two independent variables, x = [ x ₁x₂ x₃... x_i x_i+1 ... x_n] and y = [ y₁ y₂ y₃ ... y_j y_j+1 ... y_m]. For given values of x and y, four matrices are interpolated. Then for x_i < x < x_i+1 and y_j < y < y_j+1, the output matrix is given by

where the two interpolation fractions are denoted by

and

In the two-dimensional case, the interpolation is carried out first on x and then y.

The matrix to be interpolated should be four dimensional, the first two dimensions corresponding to the matrix at each value of x and y. For example, if you have four matrices A, B, C, and D defined at (x = 0.0,y = 1.0), (x = 0.0,y = 3.0), (x = 1.0,y = 1.0) and (x = 1.0,y = 3.0), then the input matrix is given by

matrix(:,:,1,1) = A;

matrix(:,:,1,2) = B;

matrix(:,:,2,1) = C;

matrix(:,:,2,2) = D;

Dialog Box

Matrix to interpolate

Matrix to be interpolated, with four indices and the third and fourth indices labeling the interpolating values of x and y.

Inputs and Outputs

Assumptions and Limitations

This block must be driven from the Simulink Prelookup block.

Examples

See the following block reference pages: 2D Controller [A(v),B(v),C(v),D(v)], 2D Observer Form [A(v),B(v),C(v),F(v),H(v)], and 2D Self-Conditioned [A(v),B(v),C(v),D(v)].

See Also

Interpolate Matrix(x)

Interpolate Matrix(x,y,z)

Interpolate Matrix(x)

Interpolate Matrix(x,y,z)