Hello!
I am trying to find a space state model for the following system. The input of the system its the applied voltage V(t) and the output of the system is the velocity of of the armature x(t). The force in the inductor its proportional to the velocity of the armature eo=kt*(dx)/(dt)
F=kt*i
I considered that the system is linear, its proprierties are invariant in time and its parameters are concentrated.
I came up with the following differential equation in order to represent the system. Note that ^^ represent dots, that is, ^^=.. (2 dots)
^=. (1 dot)
m*y^^(t)=f(t)C(t)*y^(t)k*y(t)
y^^(t)=((f(t)c(t)*y^(t)k*y(t))/(m)
So the matrix that represent the space state model of the system is
[y^^(t);y^(t)]=[0 1 ; (k)/(m) (b)/(m)] [y^(t);y(t)] +[0; (1)/(m)] *f(t)
Is this correct? What would be my output equation in this case?
Thanks
I am trying to find a space state model for the following system. The input of the system its the applied voltage V(t) and the output of the system is the velocity of of the armature x(t). The force in the inductor its proportional to the velocity of the armature eo=kt*(dx)/(dt)
F=kt*i
I considered that the system is linear, its proprierties are invariant in time and its parameters are concentrated.
I came up with the following differential equation in order to represent the system. Note that ^^ represent dots, that is, ^^=.. (2 dots)
^=. (1 dot)
m*y^^(t)=f(t)C(t)*y^(t)k*y(t)
y^^(t)=((f(t)c(t)*y^(t)k*y(t))/(m)
So the matrix that represent the space state model of the system is
[y^^(t);y^(t)]=[0 1 ; (k)/(m) (b)/(m)] [y^(t);y(t)] +[0; (1)/(m)] *f(t)
Is this correct? What would be my output equation in this case?
Thanks
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