<< cloop

Control System functions

ctrb >>

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compreal

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Companion realization of transfer functions.

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Syntax

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

Input argument

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numerator

a vector or matrix

denominator

a vector

Output 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.

E (n x n)

matrix.

Description

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[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

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

See also

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tf, ss, balance.

History

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Version	Description
1.0.0	initial version

Author

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Allan CORNET