compreal

Companion realization of transfer functions.

📝 Syntax

• [A, B, C, D, E] = compreal(numerator, denominator)

📥 Input argument

• numerator - a vector or matrix

• denominator - a vector

📤 Output 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.

• E (n x n) - matrix.

📄 Description

[A, B, C, D, E] = compreal(numerator, denominator) calculates a state-space realization represented by matrices A, B, C, D, and E.

The E matrix is an empty matrix (identity matrix) when there are at least as many poles as zeros.

However, if there are more zeros than poles, the E matrix becomes singular.

💡 Example

numerator = [0 10 10];
denominator = [1 1 10];
[A, B, C, D, E] = compreal(numerator, denominator)

🔗 See also

tf, ss, balance.

🕔 History

Version	📄 Description
1.0.0	initial version