Control System functions

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abcdchk

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Verifies the dimensional compatibility of matrices A, B, C, and D.

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Syntax

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[msg, A, B, C, D] = abcdchk(a, b, c, d)

Input argument

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a (n x n)

Represents the system's state-transition matrix. It describes how the system's internal state evolves over time.

b (n x m)

Describes the input-to-state mapping. It shows how control inputs affect the change in the system's state.

c (p x n)

Represents the state-to-output mapping. It shows how the system's state variables are related to the system's outputs.

d (p x m)

Describes the direct feedthrough from inputs to outputs. In many systems, this matrix is zero because there is no direct feedthrough.

Output argument

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msg

Returns an empty struct if matrix dimensions are consistent. Otherwise it returns the associated error message.

a (n x n)

Represents the system's state-transition matrix. It describes how the system's internal state evolves over time.

b (n x m)

Describes the input-to-state mapping. It shows how control inputs affect the change in the system's state.

c (p x n)

Represents the state-to-output mapping. It shows how the system's state variables are related to the system's outputs.

d (p x m)

Describes the direct feedthrough from inputs to outputs. In many systems, this matrix is zero because there is no direct feedthrough.

Description

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abcdchk verify dimensional consistency of the matrices A, B, C, D, E.

It additionally adjusts the dimensions of any empty 0-by-0 matrices to ensure their alignment with the rest.

Example

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A = [0 1; -2 -3];
B = [0;  1];
C = [1 0];
D = 0;
[msg, AA, BB, CC, DD] = abcdchk(A, B, C, D)

History

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Version	Description
1.0.0	initial version

Author

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Allan CORNET