7Second order non-integrating system

7.1Differential equation

(7.1.1)

7.2Continuous-time transfer function

(7.2.1)

7.3Unit Step response

7.3.1ξ=0

7.3.20<ξ<1

7.3.3ξ=1

7.3.4ξ>1

7.4Continuous-time state-space representation

(7.4.1)

(7.4.2)

7.5Discrete-time state-space representation

See the References about discretisation methods.

7.5.1Zero Order Hold

(7.5.1.1)

(7.5.1.2)

7.5.2First Order Hold

(7.5.2.1)

(7.5.2.2)