MakeupTestSolutionsSpring11

MakeupTestSolutionsSpring11 - EE 3657 Makeup Test(Optional...

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Unformatted text preview: EE 3657 Makeup Test (Optional) - April 18, 2011 1. Find the inverse Laplace transform of F (s) “[3415: Cllrfi ' Hf) s 2. Find all fixed points for the-f0 those points: (30) 5—3 a z , 10 3+1 ( ) Fig? : 56%“0a/f—0 J17 flowing dynamical system and linearize the system about a': = —m+m3+y(1+y) 3. For a second order underdamped system whose characteristic equation is given by J32 + B3 + K = 0, the gain K has been fixed, all other parameters can be varied. How can you increase damping ratio without affecting settling time. (25) @ 7:13 Zia/47M» WWMW 3 . ggflmn / 12-71 jzi: WW/ “’2‘ 2m 2467 7% 7MMWA¢Ammaae. 4. A closed—loop system has a feedforward transfer function that consists of a proportional 1 controller K in series with the plant G (s) = j. The feedback transfer function is given .3 1 by H (S) : 1 + s the closed~loop. (15) _ a CA 33+ flf f/ (WM54WW&[email protected] . Find a range of K (if it exists) for which this system is stable in 5. When are poles closest to the imaginary axis not dominant? (10) 6. Unity feedback systems of Type 71 exhibit a zero steady—stateerror to a ramp input. What value(s) of n will make the preceding statement true? (10) my; M ...
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MakeupTestSolutionsSpring11 - EE 3657 Makeup Test(Optional...

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