How to model a transfer function in Simulink?

How do I proceed with modelling a transfer function (I am trying to implement a digital filter) in SIMULINK from the following transfer function?

I have the values for ξ1= 0.009, ξ2=0.12 and α= 0.034.

Answer 1

[Daniel]

The Discrete Filter block under Simulink/Discrete should support your needs. You'll just need to simplify numerator and denominator to [a b c ... ] form, where a is the constant coefficient in the polynomial series, b is the coefficient, etc.

So, for instance,

would enter as:

numerator -- [1 -1 2]

denominator -- [1 1]

(Note that I suggest the Discrete Filter rather than the Discrete Transfer Fcn because the Discrete Filter expects negative z coefficients, with the first term always being , whereas the Discrete Transfer Fcn expects positive z coefficients, with the last term always being .)