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