ord2

Generate continuous second-order systems.

Syntax

• [A, B, C, D] = ord2(wn, z)
• [num, den] = ord2(wn, z)

Input argument

• wn - natural frequency
• z - damping factor

Output argument

• 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.
• num - polynomial coefficients: a row vector or as a cell array of row vectors.
• den - polynomial coefficients: a row vector or as a cell array of row vectors.

Description

ord2 offers a convenient way to obtain either the state-space representation or the transfer function of a second-order system based on its natural frequency and damping factor.

Example

wn = 5;
z = 0.7;
[A, B, C, D] = ord2(wn, z);
sys1 = ss(A, B, C, D)

[num, den] = ord2(wn, z);
sys2 = tf(num, den)

See also

ss, tf.

History

Author

Allan CORNET