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You are here: Home / Topics / Control System

Control System

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Miscellaneous › Others › Control System

  • This topic has 1 reply, 2 voices, and was last updated 11 years, 6 months ago by Dheeraj Kumar.
Viewing 2 posts - 1 through 2 (of 2 total)
  • Author
    Posts
  • February 18, 2012 at 4:05 pm #1652
    Rowell
    Participant

    To whom it may concern:

     

     

    Derive the following formulas;

     

       —->  Tc = 1/a

       —->  Tr = 2.2/a

       —->  Ts = 4/a

     

    and Find the time constant

     

     

     

                            G(s)

     

    R(s)  


    >  a/(s+a)  


    >  C(s)

     

     

    this problem is assigned to my instructor and I don’t know how to derive it… is there any somebody can help on how or just an advice on how to get the above formulas….. really need help here….

     

     

    my email is: [email protected]

    December 19, 2013 at 12:50 pm #10747
    Dheeraj Kumar
    Participant

     

    Standard Second Order Equation for Step Input

     

    wysiwyg_imageupload:11251:

     

     

     

    I have taken Step Input because G(s)=a/(s0)(s+a)


    > S0 means Step Input

     

    comparing above two equations…

     

    Time Constant (T)= (1/ ??n)

     

    ?n= ?a rad/sec.

     

    2??n= 1 or

     

    ?= 1/2(?a)

     

    so Time Constant(T)=0.5

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