abcdchk

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

Syntax

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

Input argument

• 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

• 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

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

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

History

Version	Description
1.0.0	initial version

Author

Allan CORNET