JNTU
JNTU B.Tech II CONTROL THEORY Previous Question Paper (May - 2019 - R16)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks.
Part A
Write any two characteristics of a transfer function.
Answer
1. It is a property of the system itself and is independent of the input and output. 2. It is defined under the assumption of zero initial conditions.
What is the significance of transfer function representation of physical systems?
Answer
The transfer function provides a compact mathematical model that relates the output to the input in the Laplace domain. It allows for the determination of system stability, transient response, and frequency response without solving complex differential equations, simplifying the analysis and design of linear time-invariant systems.
What is steady state error?
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Distinguish between Transient response & steady state response of a control system.
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What is root locus plot?
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What is break-in point?
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Why it is important to conduct frequency domain analysis of linear control systems.
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State principle of argument.
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What is compensation?
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Explain the need of lag compensator.
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Part B
Explain the effect of feedback on stability.
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Explain the temperature control system concepts using open loop as well as closed loop system.
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Explain the limitations of closed loop system over open loop system.
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Find the transfer function for the mechanical system.
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Derive the static error constants and list the disadvantages.
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Find step, ramp and parabolic error coefficients and their corresponding steady-state error for unity feed-back system having the Transfer Function G(s) = [4(s+3)] / [s^2(s+5)(s^2+3s+2)].
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Explain error constants Kp, Kv, Ka for type-1 system.
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The open-loop transfer function of a unity feedback control system is given by G(s) = K / [s(s+2)(s+4)(s^2+6s+25)]. By applying the Routh criterion, discuss the stability of the closed-loop system as a function of K. Determine the values of K, which will cause sustained oscillations in the closed-loop system.
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Sketch the root locus plot of a unity feedback system whose open loop Transfer Function is G(s) = K(s^2-2s+2) / [s(s+2)(s+3)(s+4)].
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Sketch the root locus plot for a unity feedback system whose open loop Transfer Function is given by G(s) = K(s+0.5) / [s^2(s+4.5)].
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The open loop transfer function of a system is G(s) = K / [s(1+0.5s)(1+0.2s)]. Using Bode Plot, find K so that a) Gain margin is 6 dB, b) Phase margin is 250.
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A system has one open loop pole & two closed loop poles in Right Half of s-plane. Show that the Nyquist plot encircles the (-1+j0) point once in clockwise direction.
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Addition of poles to the loop transfer function reduces the closed loop stability of the system. Justify by Nyquist plots.
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What is a lead compensator? Obtain the transfer function of lead compensator and draw pole-zero plot?
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Explain the different steps to be followed for the design of lead compensator using Bode plot.
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Open loop transfer function of an unity feedback system is G(s) = 100 / [s(s+1)(0.1s+1)]. Design a lag compensator so that the phase margin of about 500 without any change in error constant.
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