A process is described by the transfer function

(a) Calculate and plot response y(t) to a step change in input u(r) of magnitude M when M = 2, K = 3, and ? = 3.

(b) What would be the step response if the process also included a time-delay, that is, G₂(s) = Ke^?2s?/ (1 ? s) (?s + 1).

(c) If a 0.ist-order Pad? approximation were used in place of the (line delay, what transfer function would approximate G(s)?

(d) Find an expression for the step response for part (c).

(e) What can you conclude about the use of Pade approximations with this type of process?

(f) As an alternative to part (d), simulate the responses with and without the Pad approximation and again answer part (e).

Transcribed Image Text:

Gi(s) (1-5)(15 + 1)