Continuous to Discrete Time Conversion

A second order polynomial in continuous time is normally presented by a damping factor x and a natural frequency wn. A second order polynomial in z-1 corresponds to the continuous time specifications may be defined as follows:

P=1+a1z-1+a2z-2

where:

a1=-2e-xwncos(wn(1-x2)1/2)

a2=e-2xwn

This polynomial may be used for defining the fixed terms of the controller Hr and Hs, either for designing a pole placement digital controller or in the controller order reduction by identification .

See: Controller order reduction module .

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(file ctod.htm)