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

Version	📄 Description
1.0.0	initial version