4.4 Consider the transfer function model in Exercise 4.2. For an initial condition of y(0) =4 and a step change in u of mag- nitude 2 (at t =0), calculate the response, y(t). Hint: First determine the...


4.4 Consider the transfer function model in Exercise 4.2. For<br>an initial condition of y(0) =4 and a step change in u of mag-<br>nitude 2 (at t =0), calculate the response, y(t).<br>Hint: First determine the corresponding differential equation<br>model.<br>

Extracted text: 4.4 Consider the transfer function model in Exercise 4.2. For an initial condition of y(0) =4 and a step change in u of mag- nitude 2 (at t =0), calculate the response, y(t). Hint: First determine the corresponding differential equation model.
of deviation variables, that is, deviations from nominal<br>steady-state conditions.<br>Henson, M. A., and D. E. Seborg (Eds.), Nonlinear Process Control,<br>Prentice Hall, Upper Saddle River, NJ, 1997.<br>4.2 Consider the following transfer function:<br>Зе<br>Y(s)<br>G(s) =<br>U(s)<br>%3D<br>10s +1<br>(a) What is the steady-state gain?<br>(b) What is the time constant?<br>(c) If U(s) = 4/s, what is the value of the output y(t) when<br>%3D<br>t - 0o?<br>

Extracted text: of deviation variables, that is, deviations from nominal steady-state conditions. Henson, M. A., and D. E. Seborg (Eds.), Nonlinear Process Control, Prentice Hall, Upper Saddle River, NJ, 1997. 4.2 Consider the following transfer function: Зе Y(s) G(s) = U(s) %3D 10s +1 (a) What is the steady-state gain? (b) What is the time constant? (c) If U(s) = 4/s, what is the value of the output y(t) when %3D t - 0o?

Jun 08, 2022
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