State Space Model for an eletronic circuit

Thread Starter

Current_Source

Joined Dec 10, 2015
16
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
 

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