Download GTU BE/B.Tech 2018 Winter 4th Sem New 2141004 Control System Engineering Question Paper

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Subject Code: 2141004

GUJARAT TECHNOLOGICAL UNIVERSITY

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BE - SEMESTER-IV (NEW) EXAMINATION - WINTER 2018

Subject Name: Control System Engineering

Time: 02:30 PM TO 05:00 PM

Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q1

1. Compare Open loop control system and Closed loop control system. [03]
2. Discuss standard Test signals used in control system. [04]

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3. Determine the overall transfer function of the system shown in Fig. 1 using block diagram reduction techniques. [07]

Q2

1. Define sensitivity of control system. Find Sg for open and closed loop systems. [03]
2. Discuss force current (F-I) analogous system with analogous quantity. [04]
3. Draw signal flow graph of the system shown in Fig. 1 and find out C(s)/R(s) of the system using Mason’s gain formula. [07]

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OR

1. Draw the equivalent mechanical network for given system as shown in Fig. 2. [07]
2. Obtain differential equations describing the system and draw electrical network using force voltage (F-V) analogy. [07]

Q3

1. Discuss following transient response specification: Delay Time, Peak overshoot, Settling Time [03]

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2. The overall transfer function of unity feedback control system is given by ^C(s)/_R(s) = ¹⁰/_s²+2s+10. Find: 1. Position error constant 2. Velocity error constant 3. Acceleration error constant [04]
3. The loop transfer function of the system is: G(s)H(s) = ^K/_s(s+2)(s+4) Sketch the root locus of the system and determine the value of K for marginal stability. [07]

OR

1. Define following terms: State, State variable, State space [03]
2. Obtain the state transition matrix for the state model whose system matrix is given by A = ^{0 1}/_{-2 -3} [04]

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Q4

1. Derive the expression for unit step response of underdamped second order system. [07]
2. Discuss steady state error for a simple closed loop control system with negative feedback. [03]
3. Find the range of K to make the unity feedback system stable using Routh’s criterion with G(s) = ^K(s+20)/_{s(s+2)(s+100)} [04]

OR

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1. The loop transfer function of the system is: G(s)H(s) = ⁵⁰/_s(s+1)(s+2) Using Nyquist criterion, examine the closed loop stability of the system. [07]
2. State the various advantages and disadvantages of feedback with respect to control system parameters. [03]
3. The characteristic equation of system is: s⁴ + s³ + ks² + s + 1 = 0. Find k_mar and ? at k_mar. [04]

Q.5

1. Explain PI controller with the help of diagram. [03]

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2. Explain the Lead Compensator with its transfer function. [04]
3. Derive the state variable equation X' = AX + BU and Y = CX + DU. Also draw the state diagram. [07]

OR

1. Discuss Nyquist stability criterion. [03]
2. Discuss following terms with respect to frequency response: Gain Margin, Phase Margin, Gain crossover frequency, Phase crossover frequency [04]

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3. Discuss steps to design a Lag Compensator using Bode plot method. [07]

Fig. 1 (for Q.1 C & Q.2 C)

Fig. 2 (for Q.2 C OR)

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Date: 05/12/2018

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Total Marks: 70