6First order non-integrating system

6.1Differential equation

(6.1.1)

6.2Continuous-time transfer function

(6.2.1)

6.3Unit Step response

6.4Continuous-time state-space representation

(6.4.1)

(6.4.2)

6.5Discrete-time state-space representation

See the References about discretisation methods.

6.5.1Zero Order Hold

(6.5.1.1)

(6.5.1.2)

6.5.2First Order Hold

(6.5.2.1)

(6.5.2.2)