Control System 2018 Question Paper — Government College of Engineerin…

The 2018 Control System previous year question paper (Government College of Engineering and Technology, Jammu), with every question and its marks.

Instructions

Attempt total five questions, while selecting at least two questions from each section.
Assume missing data wherever necessary.

Q1. Draw the equivalent mechanical system of the given system. Hence write the set of equilibrium equations for it and obtain electrical analogous circuits using F-V analogy and F-I analogy. [20 marks]
Q2. (a) Obtain Transfer Function C(s)/R(s) by using block diagram reduction technique. (b) Signal flow graph is shown below. Find C(s)/R(s) by using Mason's Gain formula. [20 marks]
Q3. (a) A unity feedback system has $G(s) = \frac{40(s+2)}{s(s+1)(s+4)}$. Determine : (i) Type of the system, (ii) All Error Coefficients (iii) Error for ramp input with magnitude 4. (b) For a system having Transfer Function = $\frac{64}{s^2 + 5s + 64}$ for unit step input, determine : (i) Damping ratio, natural frequency and damped frequency (ii) Peak time. [20 marks]
Q4. Write short notes on the following : (i) A.C. Tachometer (ii) Synchro Pair as Control Transformer. [20 marks]

Q5. Explain describing functions and its application to system analysis. [20 marks]
Q6. Discuss the design of phase lead and lag compensator using Bode Plot. [20 marks]
Q7. (a) For unity feedback system, system is marginally stable and oscillates with frequency 4 rad/sec. Find $K_{\text{marginal}}$ and $q$. $G(s) = \frac{4}{s(s^2 + qs + 2k)}$ (b) Explain Gain Margin and Phase Margin in detail. [20 marks]
Q8. Draw the complete Nyquist plot for a system with $G(s) = \frac{K}{s(s+1)(s+5)}$ and discuss its stability. [20 marks]