AME451_HW_Solution_6

# AME451_HW_Solution_6 - -2.5403 2.1859i-1.5000...

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AME 451 Homework Solution #6 1. a) Code: G1=tf([2],[1 3 11]); G2=tf([1],[1 0 0]); G3=tf([1],[1 0 0 1]); G4=tf([1],[1 3]); H1=1; H2=tf([1 1],[1 3 4]); Sys=feedback(series(feedback(parallel(series(G1,G2),G3),H1),G4),H2) Result: Transfer function: s^6 + 8 s^5 + 30 s^4 + 53 s^3 + 46 s^2 + 6 s + 8 ------------------------------------------------------------------------ s^10 + 9 s^9 + 42 s^8 + 119 s^7 + 199 s^6 + 229 s^5 + 266 s^4 + 400 s^3 + 287 s^2 + 28 s + 26 b) Code: [zero,pole,gain]=zpkdata(Sys); zero{1,1} pole{1,1} Results: Zeros: -2.5403 + 2.1859i

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Unformatted text preview: -2.5403 - 2.1859i -1.5000 + 1.3229i -1.5000 - 1.3229i 0.0403 + 0.4201i 0.0403 - 0.4201i Poles: -1.5234 + 2.9445i -1.5234 - 2.9445i -3.0092 -1.5173 + 1.3339i -1.5173 - 1.3339i 0.6397 + 1.1227i 0.6397 - 1.1227i -1.2201 0.0156 + 0.3071i 0.0156 - 0.3071i c) Code: step(3*Sys) Results: 5 10 15 20 25-1-0.5 0.5 1 1.5 2 2.5 x 10 6 Step Response Time (sec) Amplitude d) Code: Newsys=series(Sys,tf([1],[1 0])); step(2*Newsys) title('Ramp Response') Results: 5 10 15 20 25-6-5-4-3-2-1 1 2 x 10 5 Ramp Response Time (sec) Amplitude 2. 3. 4. 5. 6....
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AME451_HW_Solution_6 - -2.5403 2.1859i-1.5000...

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