Couplad systom og eguetien\

y_(A)^()+2\\\\zeta \\\\omega _(n)y_(A)^()+\\\\omega _(n)^(2)y_(A)-(k_(E))/(\\\ ho )i=0\ (di)/(dt)+(k)/(L)i+(k_(k))/(L)y_(A)=(V)/(L)

\

Structural damping =\\\\xi =0.01\ \\\\omega _(n)^(2)=(k_(eq))/(\\\ ho ), set \\\\omega _(n)=25(ral)/(s)\ R=2.5\\\\Omega \ k_(v)=0.1\ k_(T)=2.0\ \\\\xi =0.01

\ inductance

L=10

\ a. Obtain the state space representation of the system where the states are

y_(A),y_(A)^(),i

. The\ sensor measures the velocity at the tip,

y_(A)^()

. Check for controllability and observability.\ b. Find the response for the open system. Move

y_(A)

up 1 meter and then let go. Plot the\ results for all the states . ). Make sure that your sampling frequency is high\ enough so that you get a smooth curve. The plot for

y_(A)

should look like the figure below

R=2.5kV=0.1inductanceL=10kT=2.0=0.01 a. Obtain the state space representation of the system where the states are yA,yA,i. The sensor measures the velocity at the tip, yA. Check for controllability and observability. b. Find the response for the open system. Move yA up 1 meter and then let go. Plot the results for all the states (yA,yA,i.). Make sure that your sampling frequency is high enough so that you get a smooth curve. The plot for yA should look like the figure below