JNTU
JNTU B.Tech III CONTROL SYSTEMS Previous Question Paper (August/September - 2024 - R13)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
PART - A
What is an actuating signal?
Answer
An actuating signal is the difference between the reference input and the feedback signal in a closed-loop control system. It represents the error signal that drives the controller to minimize the difference between the desired and actual output.
Name two types of electrical analogous for mechanical system.
Answer
The two types of electrical analogies for mechanical systems are:
- Force-Voltage (F-V) analogy
- Force-Current (F-I) analogy
What are the basic components of block diagram?
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Write Masons Gain formula.
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What are the standard test signals employed for time domain studies?
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What are the different types of controllers?
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What are the main significances of root locus?
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What are break away and break in points of root loci?
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List out the different frequency domain specifications.
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For a stable system, the gain cross over occurs earlier than phase cross over. Justify your answer.
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PART - B
Compare and contrast between open loop system and closed loop system.
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Explain the basic elements of control systems with examples.
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Explain the elements used for modelling of mechanical translational system.
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Define Transfer Function and obtain the ratio of Vc(s)/Vi(s) (figure 1).
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Obtain the transfer function of the two-phase servo–motor whose torque–speed curve is shown in Figure 2. The maximum rated fixed-phase and control–phase voltages are 115 volts. The moment of inertia of the motor (including the effect of load) is 7.77×10-4 Kgm-m2. Motor friction (including the effect of load) is negligible.
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For the system, whose signal flow graph is shown by Figure 3. Find Y(s)/R(s).
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For the system, whose block diagram is shown by Figure 4. Find Y(s)/N(s).
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The transfer functions for a single-loop non-unity-feedback control system are given as G(s) = 2 / (s2 + 2s), H(s) = 1 / (s + 1). Find the steady-state errors due to a unit-step input, a unit-ramp input and a parabolic input.
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Consider the closed-loop system given by C(s)/R(s) = ωn2 / (s2 + 2ζωns + ωn2), obtain the values of ζ and ωn so that the system responds to a step input with approximately 5% overshoot and with a settling time of 2 seconds (use the 2% criterion).
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Determine the range of K for stability of a unity-feedback control system whose open-loop transfer function is G(s) = K / [s(s+1)(s+2)].
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Comment on the stability of a unity-feedback control system having the open-loop transfer function as G(s) = 10 / [s(s-1)(2s+3)] using Routh’s stability criterion.
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Comment on the stability of a unity-feedback control system having the open-loop transfer function as G(s) = 10 / [s(s-1)(2s+3)] using Root locus.
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The forward path transfer function of a Unity-feedback control system is given as G(s) = K / [s(s+2)(s+10)]. Draw the Bode plot of G(s) and find the value of K so that the gain margin of the system is 20 dB.
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Consider a unity feedback control system with the following open-loop transfer function G(s) = K / [s(s+4)2]. Determine the value of the gain K such that the phase margin is 50°. What is the gain margin for this case?
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