Question

True or False/Short Answer Questions

1. The ramp response of a 1^st order system can be oscillating.
2. Using the state space representation, the number of rows in the matrix B is equal to the number of outputs.
3. Closed-Loop Control systems are insensitive to external disturbances.
4. Two physically different systems must be modeled by two different transfer functions.
5. For an LTI system, the time derivative of the unit impulse response is the unit ramp response.
6. If a system has two real and equal characteristic roots(poles),it is described as having no oscillation.
7. An actuator receives the signal from the controller and changes the controlled variable
8. The peak overshoot of a second order system response is only determined by damping ratio.
9. For a given system, there is a unique state space model to describe it.
10. A level control system it to maintain the tank level at 6.8 feet, the current level being measured to 5.8 feet. The error In this control system is -0.2 feet.
11. An open loop system can correct the errors happening between the objective and the actual value of the variable.
12. The thermometer can be approximated as a first order system. It is moved out of an ice water tank to measure the temperature which is at 200 degrees Farenheit. It take 10 seconds for the thermometer to read 126.4 degrees. It will take how many seconds to read 98 degrees?

1. 15 b. 20 c.   30 d.   40

Please answer all to the best of you knowledge and give a short explanation on each if possible. Thank You.

Answer 1

Sol 1 Sentence in 1st order system can the rame response of a be oscillating. Given statement is Answen : False. Explanation : Below, we have given a ramp input to ist onder system. imput fict) = t-uct) Ris) = 1/2 K - Yus) - 1+ IS к ols → So, output Yes it Ts so, we will get At K ; B = okt ; c= KE? Κτ, Κτ2 > so, = output Yo 1+ TS Y5 = K ITS output yos) - Perth - MT - KI? You - (- C its)) ek ( so (5+)) -) | y(t) = { [t - T (I- + - К

y (t) -tuct) y(t) X As shown above ; y(t) is net oscillating.