compreal
Companion realization of transfer functions.
📝Syntax
[A, B, C, D, E] = compreal(numerator, denominator)
📥Input Arguments
Parameter Description
numerator a vector or matrix
denominator a vector
📤Output Arguments
Parameter Description
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.

💡Examples
numerator = [0 10 10];
denominator = [1 1 10];
[A, B, C, D, E] = compreal(numerator, denominator)
🔗See Also
tfssbalance
🕔Version History
Version Description
1.0.0 initial version
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