ME 4183 Study Guide - Midterm Guide: Phase Margin, Bode Plot, Frequency Response

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14 Dec 2014
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Me 4183 theory and design of mechanical control systems. A negative unity feedback system has open-loop transfer function. That ensure the steady-state error for the closed-loop system is zero when the input is 3 and 10 2 when the input is 2 2. For the steady-state error to be zero for a ramp input and constant for a parabolic input, we need a type 2 system; thus, = 2 and. The laplace transform of ( ) = 2 2 is ( ) = 4 3 so the steady-state error is. The step response of the feedback system below is shown in figure 1. Assuming the closed-loop system behaves approximately like a second-order system, determine the following: a) the time delay , b) its phase margin, c) its resonant magnitude, and d) its resonant frequency. From the step response, one can see that = 1 s. the percent overshoot is % = 37%, so therefore.

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