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(Solved): (15 points) The electric circuit shown in Figure 1 is described by the first order equation: L(di)/( ...
(15 points) The electric circuit shown in Figure 1 is described by the first order equation:
L(di)/(dt)+(R_(1)+R_(2))i(t)=u(t)
y(t)=R_(2)i(t)Figure 1. The electric circuit diagram. (1)Find the state space representation and the solution of the system. (2) If
u-=1, does the system have an equilibrium state? (3) Calculate the controllability gramian
W(t_(0),t_(7))for the system. Is the system completely controllable?
