State Space Model for an eletronic circuit

Discussion in 'Homework Help' started by Current_Source, Jan 5, 2016.

  1. Current_Source

    Thread Starter New Member

    Dec 10, 2015
    16
    0
    Hello!

    I am trying to find a space state model for the following circuit. :

    Circuit_f.PNG
    My approach was trying to divide the circuit in various blocks and then find the output expression for those blocks.

    So i have defined the voltages Vout1,Vout2 has shown in the circuit.

    Then i have calculated the ouput expressions for the blocks i have considered and i got:


    Block_1.PNG

    Equations_Block_1.PNG

    For this block i wrote the following set of equations in order to find an expression in order to vout2:

    Equations_Block_2.PNG

    So the matrix that represent the space state model of the circuit in the form

    space_state.PNG

    So considering the above form i got the following matrix and equations:
    x_dot.PNG
    Matriz.PNG
    equations.PNG

    Is this correct? Thanks
     
    Last edited: Jan 5, 2016
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