MATLAB Problems (20 points) Desired velocity Reel dynamics Amplifier Motor Actual cable R(x)= 200 Torque velocity K V(s) 3+1 3+8 Measured velocity Tachometer 1 0.25 +1 1. Use Matlab to obtain the closed loop transfer function for the above block diagram. 2. Determine explicitly the poles and zeros of the closed-loop transfer function using poles and zero functions and generate a pole-zero map of the close loop transfer function in graphical form using pzmap. Compare the two results. 3. For A-1 and K=10 find the system response