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Problem-1 (25p). Suppose that you as a Control Engineer are called-in to consult on a control system in a piece of equipment in the field. No one could find the design report or test results from the original design of the control system. Therefore, you needed to take the frequency response of the control system by opening the feedback loop. You realized that the system has just a unit feedback and obtained the Bode plots below. Bode Diagram 10% 10¹ 10⁰ 10 Frequency (rad/s) Ta² (a) Estimate the open-loop transfer function. (b) Determine the system type and the steady-state error from the plots. Make sure that you obtain the same steady-state error using the result of (a). Magnitude (dB) -60 -80 -100 -120 Phase (deg) 0 kh 135 180