hw1.1 solu 355

hw1.1 solu 355 - 5-8 Chapter 5: Reduction of Multiple...

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Unformatted text preview: 5-8 Chapter 5: Reduction of Multiple Subsystemsans = Ge3(s)=G1(s)Ge1(s)Ge2(s)Transfer function: 50 s^3 - 50 s^2 - 100 s -------------------------------s^5 + 2 s^4 + 101 s^3 + 100 s^2 ans = T(s)=Ge3(s)/(1+Ge3(s))Transfer function: 50 s - 100 -----------------------s^3 + s^2 + 150 s - 100 2.Push G1(s) to the left past the pickoff point. +-++G1H1G11G2G3Thus, T(s)g32G11g14G1H1g167g3g169g3g168g3g168g3g183g3g185g3g184g3g184g3G2g141G1g167g3g169g3g168g3g168g3g183g3g185g3g184g3g184g3G3g32G1G2g141g11g12G31g14G1H1g11g123.a.Split G3and combine with G2and G4. Also use feedback formula on G6loop. Solutions to Problems 5-9Push G2+G3 to the left past the pickoff point. Using the feedback formula and combining parallel blocks, Multiplying the blocks of the forward path and applying the feedback formula, 5-18 Chapter 5: Reduction of Multiple SubsystemsCombine parallel pair and feedback in forward path. Combine cascade pair and apply final feedback formula yielding T(s)g325s2g142s6s2g149sg146....
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This note was uploaded on 11/07/2011 for the course MEM 355 taught by Professor Ani during the Fall '08 term at UPenn.

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hw1.1 solu 355 - 5-8 Chapter 5: Reduction of Multiple...

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