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Multiple-choice questions (Note: The correct answer may be just one of the choic

ID: 703505 • Letter: M

Question

Multiple-choice questions (Note: The correct answer may be just one of the choices or as many as all of choices. No credit is given unless you select all of the correct choices and no others): (10 pts.) Which of the following claims are correct? Feedforward control uses measurement of disturbances. (B) Feedforward control uses measurement of output. C) Feedback control uses measurement of disturbances eedback control uses measurement of output. 2.(10 pts.) A process has following transfer function model: Y'(s)T 2 If input signal is function u (t)-cos(t), then what is the final value of y'e (A)oo (B) 2 (C) 0 (D) 3. (10 pts.) Given following nonlinear ODE model: dy(t) S()+2u(t)e-3/0) (0.2) where y is the output and u is the input. Which matlab function should be used in order to obtain y(t) numerically? (A) taylor (B) ode45 (C) diff (C) integral then what is its steady state 4. (10 pts.) Give transfer function G(s) gain? (A)01 (B) 0 (C) 2 (D)D 5. (10 pts.) Give a process model: dy(t) ?=-sin(y(t)) + u(t), (y(t) + 1) (0.3) what are its possible steady states? 6. (10 pts.) For the process modeled by: dylt) y(t) +1+ u(t) (0.4) where y(t) is the output and u(t) is the input. At steady state1,-0, what is the linearized model?

Explanation / Answer

1. The feed back controller measures the output compares it to a set point and hence control the control variable

The feedforward control first measure the disturbance then accordingly changes the control variable before the effect of disturbance can be felt ans - A&D

2. The laplace transformation of cos(t) = s/(s2+1), Y'(s) = 2/(s2((s-1)2+1) * s/(s2+1)

We know y(t), when t tends to infinity is Y'(s) when s tends to 0. from the above equation we see that Y'(s) = infinity as 1/s is infinity when s tends to 0.

3. ODE 45 is a matlab fuction to solve differential equation. This function uses the RK-4 method to solve the differential.

4. We get steady state value when t tends to infinity and the value at steady state can be found using: t tends to infinity is G(s) when s is limiting to 0, putting s = 0 in the given equation we get the value 1.