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Math Help - Transfer Funtion for a cascade system and sub system

  1. #1
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    Transfer Funtion for a cascade system and sub system

    In PART C I'm stuck ....

    I need to find the Trafer funtion for H(s) -> For all the system

    C)
    H 'sub1' (s) =(1/(1+src))
    H 'sub2' (s) =((sL)/(sL+r))
    H(s) = ???


    d1) ???

    d2) ???


    Any help will be appreciated ...







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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Geek and Guru View Post
    In PART C I'm stuck ....

    I need to find the Trafer funtion for H(s) -> For all the system

    C)
    H 'sub1' (s) =(1/(1+src))
    H 'sub2' (s) =((sL)/(sL+r))
    H(s) = ???
    H(s)=H_2(s)H_1(s)

    CB
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Geek and Guru View Post
    d1) ???

    d2) ???
    If the system has transfer function H(s) then the LT of the impulse response is also H(t).

    To see this you need to know that \mathcal{L}\delta(t)=1.

    For the time domain problem you need to know that u'(t)=\delta(t) (I think, I usually do these things from first principles).

    CB
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  4. #4
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    Thats correct, I solved that part of the problem and yes indeed I multiply those transfer function ... and was a little tricky because Partial Fraction have to be use but mission accomplish in that part ... also d1 and C3

    -----
    But !
    -----

    In the D2 is when the Apocalypse strike with the first horseman ...
    A convolution integral have to be perform that i don't know how to handle.

    d2) Find h(t) using h1(t) and h2(t) and using Time Convolution

    Thanks CB, kudos for You bro !
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by Geek and Guru View Post
    Thats correct, I solved that part of the problem and yes indeed I multiply those transfer function ... and was a little tricky because Partial Fraction have to be use but mission accomplish in that part ... also d1 and C3

    -----
    But !
    -----

    In the D2 is when the Apocalypse strike with the first horseman ...
    A convolution integral have to be perform that i don't know how to handle.

    d2) Find h(t) using h1(t) and h2(t) and using Time Convolution

    Thanks CB, kudos for You bro !
    Well h(t)=h_2(t)*h_1(t) , which translates into an integral, but to be honest its easier to do in the s-domain.

    CB
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