Interpolate Matrix(x) - Return interpolated matrix for given input

Library

GNC/Controls

Description

The Interpolate Matrix(x) block interpolates a one-dimensional array of matrices.

This one-dimensional case assumes a matrix M is defined at a discrete number of values of an independent variable

x = [ x₁ x₂ x₃ ... x_i x_i+1 ... x_n ].

Then for x_i < x < x_i+1, the block output is given by

where the interpolation fraction is defined as

The matrix to be interpolated should be three dimensional, the first two dimensions corresponding to the matrix at each value of x. For example, if you have three matrices A, B, and C defined at x = 0, x = 0.5, and x = 1.0, then the input matrix is given by

matrix(:,:,1) = A;

matrix(:,:,2) = B;

matrix(:,:,3) = C;

Dialog Box

Matrix to interpolate

Matrix to be interpolated, with three indices and the third index labeling the interpolating values of x.

Inputs and Outputs

Input	Dimension Type	Description
First		Contains the interpolation index i.
Second		Contains the interpolation fraction λ.

Output	Dimension Type	Description
First		Contains the interpolated matrix.

Assumptions and Limitations

This block must be driven from the Simulink Prelookup block.

Examples

See the following block reference pages: 1D Controller [A(v),B(v),C(v),D(v)], 1D Observer Form [A(v),B(v),C(v),F(v),H(v)], and 1D Self-Conditioned [A(v),B(v),C(v),D(v)].

See Also

Interpolate Matrix(x,y)

Interpolate Matrix(x,y,z)

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