Control System Toolbox Function Reference

ord2

Generate continuous second-order systems

Syntax

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

Description

[A,B,C,D] = ord2(wn,z) generates the state-space description (A,B,C,D) of the second-order system

given the natural frequency wn () and damping factor z (). Use ss to turn this description into a state-space object.

[num,den] = ord2(wn,z) returns the numerator and denominator of the second-order transfer function. Use tf to form the corresponding transfer function object.

Example

To generate an LTI model of the second-order transfer function with damping factor and natural frequency , type

[num,den] = ord2(2.4,0.4)
num =
     1
den =
    1.0000    1.9200    5.7600
sys = tf(num,den)
Transfer function:
         1
-------------------
s^2 + 1.92 s + 5.76

See Also
rss         Generate random stable continuous models

ss          Create a state-space LTI model

tf          Create a transfer function LTI model

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