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Help for Linearization

  1. Dec 8, 2009 #1
    urgent help for Linearization

    Dear All,

    y" (t)+ y'(t)+y(t)=u2(t)-1

    Linearize the system about y(t)=0, u(t)=1, for all t>= 0

    can we say that this equation is already linear at the given point

    which will be y" (t)+ y'(t)+0=1-1 => y" (t) + y'(t)= 0

    and no need for linearization.
     
  2. jcsd
  3. Dec 8, 2009 #2
    Re: urgent help for Linearization

    No. What you do is only valid for that point (0,1). You need to have a linear system around this point mimicking almost the nonlinear system in a neighborhood hence your input function must be linearized.
     
  4. Dec 8, 2009 #3
    Re: urgent help for Linearization

    thank you alot, so how to start solving this system?

    do i have to get the state-space representation of this system first? or what?
     
  5. Dec 8, 2009 #4
  6. Dec 8, 2009 #5
    Re: urgent help for Linearization

    any hint on that?
     
    Last edited: Dec 8, 2009
  7. Dec 8, 2009 #6
    Re: urgent help for Linearization

    [itex]f(x) = x^2 [/itex] is your function to be linearized.
     
  8. Dec 8, 2009 #7
    Re: urgent help for Linearization

    Thank you alot
     
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