ME360Homework08Answers

ME360Homework08Answers - Homework #8 (Chapter 5) Answers ME...

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Homework #8 (Chapter 5) Answers ME 3600 Control Systems 1. E 5.2: a) () 100 5 2 5 2 + + + + + = s s s s s R E , so /11 ss eA = , b) 100 2 5 100 Y s Rs s = ++ + % OS = 33% (Fig. 5.8) 2. E 5.3: a) 2 14 YK s I ss K = . For ITAE optimal response, set 7 0 . = ζ , so K = 100. b) % OS = 5% (Fig. 5.8) 3. E 5.4: a) ( ) 2 28 61 6 s Y s R + = b) ( ) ( ) 3 ( ) 1 1.069 sin 7 1.932 t yt A e t =+ c) % 3 4% OS ≈− (Fig. 5.13) d) ss yA = 4. E 5.8: a) % 5% OS , 8 2 s T K = b) 32 K > 5. E 5.14: The approximate transfer function has a faster response (smaller p T ), slightly higher overshoot, and slightly shorter settling time. See plot. 6. P 5.4: a) specifications cannot be met simultaneously. b) If we relax each specification by a factor of two, we can use 8 2 . K
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This note was uploaded on 02/02/2010 for the course ME 3600 taught by Professor Kamman during the Fall '09 term at Western Michigan.

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