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