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Generating State Variable Description

  1. Sep 29, 2009 #1

    I came across a problem in some literature and was curious about how to solve it,

    Given a system described by,

    [tex]\ddot{y} + 2\dot{y} - 3y = \dot{u} - u [/tex]

    Convert the above into state-space form with input [tex]\dot{u}[/tex] and output y.

    Define the state vector and determine the matrices A(t),B(t),C(t),D(t) such that,

    [tex]\dot{x} = A(t)x + B(t)\dot{u} [/tex]
    [tex]y = C(t)x + D(t)\dot{u} [/tex]

    Any ideas?
  2. jcsd
  3. Jan 19, 2010 #2
    Can any body tell me what will be the state space equation for the circuit in the below link. I will be very happy to know this.

    http://i783.photobucket.com/albums/yy113/sandhi_prashant/Statespaceequation.jpg [Broken]

    with regards,
    Last edited by a moderator: May 4, 2017
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