Download PTU B.Tech 2020 March Aero 5th Sem ASPE 304 Control Engineering Question Paper

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Roll No. [ ] Total No. of Pages : 03
Total No. of Questions : 09

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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1. Write briefly :
   1. State the properties of transfer function.
   2. What is servomechanism?
   3. State Nyquist stability criterion.
   4. Name and define types of controllers.
   5. Write down Mason’s-gain formula and explain its various terms.

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   6. What is Force-voltage analog?
   7. Explain the terms phase margin and gain margin.
   8. Name the physical devices for system compensation.
   9. What is Bode plot?
   10. State Routh’s Hurwitz criterion.

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SECTION-B

2. A system for controlling the position of a robot is shown in fig. 1. Use a proportional plus integral controller to design a system whose characteristic equation has a damping ratio g = 1.0 and a natural frequency ?n = 4. Determine K.
   
3. For the mechanical system shown in Fig. 2.
   1. Determine the differential equation relating f and x.

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   2. Construct the force voltage analog.
   3. Construct the force current analog.
4. Draw the complete signal flow graph for the following simultaneous equations :
   X1 = a11x1 + a12x2 + b1u1
   

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   X2 = a21x1 + a22x2 + b2u2
5. The block diagram representation for a servomechanism is shown in fig. 3.
   Determine the differential equation relating the output y to the input x. Determine the value of the steady state gain & and the time constant t.
6. Illustrate the use of a phase-lead component placed in series with the feedback portion of a control system to improve the stability.

SECTION-C

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7. The open-loop transfer function of a control system is
   Determine the value of G (j?) H(j?)/K for ?=0, 1,2, 3,4, 5 and 6
   Construct the entire Nyquist plot and then determine the range of values of K such that the system is stable.
8. The block diagram for the autopilot for a large commercial airliner is shown in fig. 4. The system is to be designed such that the percentage of overshoot to a step change in the input does not exceed 10 percent, and the 5 percent settling time should be less than 1s.
   Determine the required values of K and a.

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9. A system for controlling the output torque from an engine is shown in fig. 5. Apply Routh’s criterion to determine the range of values of a such that the system is stable.

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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