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tzero

Invariant zeros of linear system.

Syntax

z = tzero(sys)
z = tzero(A, B, C, D)
z = tzero(A, B, C, D, E)
[z, nrank] = tzero(sys)
[z, nrank] = tzero(A, B, C, D)
[z, nrank] = tzero(A, B, C, D, E)

Input argument

sys

a LTI model.

A

State matrix: Nx-by-Nx matrix.

B

Input-to-state matrix: Nx-by-Nu matrix.

C

State-to-output matrix: Ny-by-Nx matrix.

D

Feedthrough matrix: Ny-by-Nu matrix.

E

Nx-by-Nx matrix.

Output argument

Z

Invariant zeros: column vector.

nrank

Normal rank: positive integer.

Description

tzero function is employed to extract the invariant zeros of a Multiple Input, Multiple Output (MIMO) dynamic system described by the system model sys.

In cases where sys is a minimal realization, these invariant zeros coincide with the transmission zeros of the system.

Example

A = [1 2; 3 4];
B = [1; 0];
C = [1 0];
D = 0;
sys = ss(A, B, C, D);
z = tzero(sys)
[z, nrank] = tzero(sys)

See also

append.

History

Version Description
1.0.0 initial version

Author

Allan CORNET

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