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    B F192030 Pages:2: Answer All Questions, Each Carries 5 Marks

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    Afsal Abdul Karim
    This document is a two page exam for a control theory course. It contains 17 questions across four parts. Part A contains 5 mark questions on topics like transfer functions, PID controllers, and pulse transfer functions. Part B contains 10 mark questions on topics like lag compensators, Ziegler-Nichols tuning, and designing a lead compensator. Part C contains 10 mark questions on state space models, controllability, and canonical forms. Part D contains 10 mark questions on describing functions, nonlinear differential equations, phase portraits, and stability analysis using Liapunov's method.

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    B F192030 Pages:2: Answer All Questions, Each Carries 5 Marks

    Uploaded by

    Afsal Abdul Karim
    75 views2 pages
    This document is a two page exam for a control theory course. It contains 17 questions across four parts. Part A contains 5 mark questions on topics like transfer functions, PID controllers, and pulse transfer functions. Part B contains 10 mark questions on topics like lag compensators, Ziegler-Nichols tuning, and designing a lead compensator. Part C contains 10 mark questions on state space models, controllability, and canonical forms. Part D contains 10 mark questions on describing functions, nonlinear differential equations, phase portraits, and stability analysis using Liapunov's method.

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    EE304-QP.pdf

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    This document is a two page exam for a control theory course. It contains 17 questions across four parts. Part A contains 5 mark questions on topics like transfer functions, PID controllers, and pulse transfer functions. Part B contains 10 mark questions on topics like lag compensators, Ziegler-Nichols tuning, and designing a lead compensator. Part C contains 10 mark questions on state space models, controllability, and canonical forms. Part D contains 10 mark questions on describing functions, nonlinear differential equations, phase portraits, and stability analysis using Liapunov's method.

    Copyright:

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

    B F192030 Pages:2: Answer All Questions, Each Carries 5 Marks

    Uploaded by

    Afsal Abdul Karim
    This document is a two page exam for a control theory course. It contains 17 questions across four parts. Part A contains 5 mark questions on topics like transfer functions, PID controllers, and pulse transfer functions. Part B contains 10 mark questions on topics like lag compensators, Ziegler-Nichols tuning, and designing a lead compensator. Part C contains 10 mark questions on state space models, controllability, and canonical forms. Part D contains 10 mark questions on describing functions, nonlinear differential equations, phase portraits, and stability analysis using Liapunov's method.

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    You are on page 1of 2

    B F192030 Pages:2

    Reg No.:_______________ Name:__________________________

    APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY


    SIXTH SEMESTER B.TECH DEGREE EXAMINATION(S), DECEMBER 2019
    Course Code: EE304
    Course Name: ADVANCED CONTROL THEORY
    Max. Marks: 100 Duration: 3 Hours
    PART A
    Answer all questions, each carries 5 marks. Marks

    1 Obtain the transfer function of a lead compensator with the help of an electrical (5)
    network.
    2 Derive the transfer function of a PID Controller (5)
    3 Derive a relation between state equation and transfer function for LTI system. (5)
    4 Obtain the pulse transfer function for the system shown below. (5)

    5 With a neat diagram explain how the describing function analysis is used to (5)
    determine the stability of a system?
    6 What are jump response and limit cycles in connection with nonlinear systems? (5)
    7 Explain with neat diagram, what is phase trajectory and phase portrait? (5)
    8 Define positive definite and positive semi definite functions according to (5)
    Liapunov stability criteria, with suitable examples.
    PART B
    Answer any two full questions, each carries 10 marks.
    9 a) Draw the bode-plot of lag compensator and obtain an expression for maximum (6)
    phase lag and corresponding frequency.
    b) Explain turning of PID controller using Ziegler-Nichols tuning method. (4)
    10 Explain the procedure for design of a lag Compensator using Bode Plot with (10 )
    suitable example
    11 Consider a unity feedback system with open loop transfer function (10 )

    Design a lead compensator to meet the following specification:


    1. Percentage peak overshoot is 9.5%
    2. Natural frequency of oscillations 12 rad/sec
    3. Velocity error constant

    Page 1 of 2
    B F192030 Pages:2

    PART C
    Answer any two full questions, each carries 10 marks.
    12 a) A system is described by ( 5)

    Determine state transition matrix for the system.


    b) Define controllability. Explain with a suitable example, how can we check the (5)
    controllability of a system?
    13 Derive the state model of the following transfer function in, (10)
    (i) Controllable canonical form
    (ii) Diagonal canonical form

    14 Examine the stability of the system with the following characteristic equation (10)
    using Jury’s stability test.

    PART D
    Answer any two full questions, each carries 10 marks.
    15 Identify the following non linearity and derive a describing function for the (10)
    same

    16 Consider the following non linear differential equation. (10)

    Find all singular points of the system, classify them and sketch the phase
    portrait in the neighbourhood of singular points.
    17 a) Discuss any three non linearities present in nature. (6)
    b) Investigate the stability of the following non-linear system using Liapunov (4)
    direct method
    =
    = .
    ****

    Page 2 of 2

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