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    March 2022

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    Narmada Bheema
    This document contains 8 questions related to control systems for an exam. Question 1 asks to explain two examples of closed loop control systems and obtain the transfer function for a given mechanical system. Question 2 asks about how a synchro acts as an error detector and obtain the transfer function for a given block diagram. Question 3 asks about determining damping factors and natural frequencies for a given system with a unit ramp input. Question 4 asks about sketching a root locus plot for a given unity feedback system. Question 5 asks about drawing a Nyquist plot and explaining a lead-lag compensator. Question 6 asks about determining roots of a polynomial and defining a breakaway point. Question 7 asks about steady state error constants and time

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    March 2022

    Uploaded by

    Narmada Bheema
    25 views2 pages
    This document contains 8 questions related to control systems for an exam. Question 1 asks to explain two examples of closed loop control systems and obtain the transfer function for a given mechanical system. Question 2 asks about how a synchro acts as an error detector and obtain the transfer function for a given block diagram. Question 3 asks about determining damping factors and natural frequencies for a given system with a unit ramp input. Question 4 asks about sketching a root locus plot for a given unity feedback system. Question 5 asks about drawing a Nyquist plot and explaining a lead-lag compensator. Question 6 asks about determining roots of a polynomial and defining a breakaway point. Question 7 asks about steady state error constants and time

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    This document contains 8 questions related to control systems for an exam. Question 1 asks to explain two examples of closed loop control systems and obtain the transfer function for a given mechanical system. Question 2 asks about how a synchro acts as an error detector and obtain the transfer function for a given block diagram. Question 3 asks about determining damping factors and natural frequencies for a given system with a unit ramp input. Question 4 asks about sketching a root locus plot for a given unity feedback system. Question 5 asks about drawing a Nyquist plot and explaining a lead-lag compensator. Question 6 asks about determining roots of a polynomial and defining a breakaway point. Question 7 asks about steady state error constants and time

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    25 views2 pages

    March 2022

    Uploaded by

    Narmada Bheema
    This document contains 8 questions related to control systems for an exam. Question 1 asks to explain two examples of closed loop control systems and obtain the transfer function for a given mechanical system. Question 2 asks about how a synchro acts as an error detector and obtain the transfer function for a given block diagram. Question 3 asks about determining damping factors and natural frequencies for a given system with a unit ramp input. Question 4 asks about sketching a root locus plot for a given unity feedback system. Question 5 asks about drawing a Nyquist plot and explaining a lead-lag compensator. Question 6 asks about determining roots of a polynomial and defining a breakaway point. Question 7 asks about steady state error constants and time

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    of 2

    Code No:134AM R16

    JN
    JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
    B.Tech II Year II Semester Examinations, March - 2022
    CONTROL SYSTEMS
    (Common to EEE, ECE, EIE, ETM)
    TU
    Time: 3 Hours Max. Marks: 75
    Answer any five questions
    All questions carry equal marks
    ---
    H
    1.a) Explain any two examples of closed loop control systems.
    b) Obtain the transfer function for the following mechanical translational system figure 1.
    U
    [7+8]
    se
    dP
    a pe
    rs
    M
    Figure: 1

    2.a) Explain how Synchro acts as an error detector and determine the transfer function.
    ar
    b) Obtain the transfer function for the system represented by block diagram shown in
    figure 2 using the block diagram reduction technique. [7+8]
    ch
    20
    2 2
    Figure: 2
    3. Consider the system shown in the figure 3. With switch K open, determine the damping
    JN
    factor and the natural frequency of the system. If a unit ramp input is applied to the
    system, find the steady state output. Take KA =5. The damping factor is to be increased to
    0.7 by including a derivative output compensation. Find the value of kt to achieve this.
    Find the value of undamped natural frequency and the steady state error due to a unit
    TU
    ramp input. [15]
    H
    U
    se
    Figure: 3

    4. A unity feedback system has an open loop function G (s) = 𝑘 (𝑠2+ 3𝑠+10) make a rough
    dP
    sketch of root locus plot by determining the following
    a) Centroid, number and angle of asymptotes
    b) Angle of departure of root loci from the poles
    a
    c) Breakaway points if any. [5+5+5]
    pe
    5.a) Draw the complete Nyquist plot for the following open loop transfer function
    2(s+0.25)
    G(s) H(s) = s2 (s+1) (s+0.5) . If the system is unstable, how many poles of the closed loop
    system are in the right half of s-plane?
    rs
    b) Draw the electrical circuit diagram that represents the Lead-Lag compensator and explain
    in detail. [9+6]
    M
    6.a) Determine the number of roots of a given polynomial with real parts between 0 and
    –1, 7s2 + 4s4 + 10s3 + 2s2 + 3s + 6 = 0.
    b) Define and derive the breakaway point on the root locus. [8+7]
    ar
    7.a) The open loop transfer function of a system with unity feedback is given by
    ch
    6
    G( s)  2 . Obtain the steady state error constants for all standard inputs.
    s ( s  0.3)( s  0.1)
    b) Obtain the time response of the first order system for unit step function. [7+8]
    20
    8. The state variable formulation of a system is given by
    ˙
     3 2  0
     X     1 u and y  1 0 X 
    2
     X
     1 0  
    2
    Find the following: a) Transfer function of the system b) State transaction matrix and
    c) State equation for a unit step input under zero initial condition. [15]

    ---ooOoo---

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