ME360Test01Fall2009Answers

ME360Test01Fall2009Answers - ME 3600 Control Systems Test I...

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ME 3600 Control Systems Test I Answers 1. a) Approximate linear model: ( ) 10 75 10 75 dx yt x x x dt Δ ⎛⎞ Δ =+ Δ = Δ + Δ ⎜⎟ ⎝⎠ ± 2. a) 2 11 () 81 2 ( 2 ) ( 6 ) X s Fs s s s == ++ + + System has real, unequal roots, so it is over-damped. b) 12 22 1040 ( 2)( 6)( 16) 2 6 ( 16) K KA s B Xs sss s s s + + + + + + + c) 1 13 K = , 2 5 K =− , 8 A , and 4 B = − . d) 26 transient steady-state ( ) 13 5 8.06sin(4 1.45) tt xt e e t −− + ²³³´ ³³µ ²³³³´ ³ ³ ³µ 3. 0.9 ss y = 4. a) b) c) 13 2 2 2 2 2 32 ( ) ( ) Xk b s k s Y m s b sk km sk k b sk + = + +++ + d) the displacement response of mass
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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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