GATE Exam  >  GATE Questions  >  An open loop control system resultsin a respo... Start Learning for Free
An open loop control system results in a response of 
(10e-2t - 3e-t) u(t)
For an unit impulse input. The D.C. gain of control system is….....?
(Important - Enter only the numerical value in the answer) 
    Correct answer is '2'. Can you explain this answer?
    Verified Answer
    An open loop control system resultsin a response of(10e-2t - 3e-t) u(t...
    View all questions of this test
    Most Upvoted Answer
    An open loop control system resultsin a response of(10e-2t - 3e-t) u(t...
    To find the DC gain of the control system, we need to determine the value of the response when the input is a unit impulse.

    The unit impulse function, denoted as δ(t), is defined as a function that is zero for all values of t except when t = 0, where it has an infinite magnitude such that its integral over any interval containing t = 0 is equal to 1.

    For an open-loop control system, the response to a unit impulse input is given by the Laplace transform of the transfer function, evaluated at s = 0.

    The Laplace transform of the given response, R(s), is:

    R(s) = 10e^(-2s)/(s+2) - 3e^(-s)/s

    To find the value of the response when the input is a unit impulse, we substitute s = 0 into the Laplace transform:

    R(0) = 10e^(-2*0)/(0+2) - 3e^(-0)/0
    = 10/2 - 3/0 (Note: e^0 = 1)
    = 5 - undefined

    Therefore, the DC gain of the control system is undefined.
    Explore Courses for GATE exam
    An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer?
    Question Description
    An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer?.
    Solutions for An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
    Here you can find the meaning of An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer?, a detailed solution for An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? has been provided alongside types of An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An open loop control system resultsin a response of(10e-2t - 3e-t) u(t)For an unitimpulse input. The D.C. gain ofcontrol system is….....?(Important - Enter only the numerical value in the answer)Correct answer is '2'. Can you explain this answer? tests, examples and also practice GATE tests.
    Explore Courses for GATE exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev