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Unformatted text preview: The current dynamics are described by the first-order ordinary differential equation ) ( i f dt di L where f(i)=V o-V r (i). Linearize f(i) about the steady state value of current i o .( i o =1 amp). Write the linearized differential equation. 5 4 s Page 2 Department of Mechanical Engineering Michigan State University Problem 3: (25 points) For the mechanical translational system shown below: a) Write the governing differential equations b) Determine the transfer function X(s)/F(s) Problem 4: (25 points) The unity feedback system is characterized by an open loop transfer function G(s) = K/s(s+10). a) Find the closed loop transfer function for the system b) Determine the gain K, so that the system will have a damping ratio of 0.5. c) Determine settling time, percentage peak overshoot and time to peak overshoot for a unit step response. Unity feedback system...
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- Summer '08