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Midterm 2 sol

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Unformatted text preview: E 462 Vibrations, Controls, and Optimization II Spring 2010 b. [5 pts] What compensator design would you use to move the closed loop poles to s = ‐3 +/‐ 2j instead? Circle the correct answer and state a reason for your answer. Gain Only PI PD c. [5 pts] Your friend from Berkeley tells you that adding a zero to the root locus plot along with a gain K (Gc = K(s+z)) will be able to move the closed loop poles to the desired locations s = ‐3 +/‐ 2j. Find a zero location that would work with this compensator. The root locus is repeated below for convenience. Root Locus 3 2 Imaginary Axis 1 0 -1 -2 -3 -6 -5 -4 -3 -2 -1 0 1 Real Axis Midterm 1 Page 10 of 11 Dr. S Bergbreiter ENME 462 Vibrations, Controls, and Optimization II Spring 2010 z = d. How will adding this zero affect the step response you would have from a strict second order system? z Midterm 1 Page 11 of 11 Dr. S Bergbreiter...
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