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Thread: 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) = ???
    $\displaystyle H(s)=H_2(s)H_1(s)$

    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 $\displaystyle H(s)$ then the LT of the impulse response is also $\displaystyle H(t).$

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

    For the time domain problem you need to know that $\displaystyle u'(t)=\delta(t)$ (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 $\displaystyle h(t)=h_2(t)*h_1(t) $, which translates into an integral, but to be honest its easier to do in the $\displaystyle s$-domain.

    CB
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