Invers Transformasi Laplace

, maka

Soal.

maka:

= untuk menghitung

maka:

maka:>> num=[9 47];>> den=[1 6 11 6];>> sys=tf(num,den)Transfer function: 9 s + 47----------------------s^3 + 6 s^2 + 11 s + 6>> [r,p,k]=residue(num,den)r = 10.0000 -29.0000 19.0000p = -3.0000 -2.0000 -1.0000k = []

>> w=logspace(-1,2,100)w =

Columns 1 through 3 0.1000 0.1072 0.1150 Columns 4 through 6 0.1233 0.1322 0.1417 Columns 7 through 9 0.1520 0.1630 0.1748 Columns 10 through 12 0.1874 0.2009 0.2154 Columns 13 through 15 0.2310 0.2477 0.2656 Columns 16 through 18 0.2848 0.3054 0.3275 Columns 19 through 21 0.3511 0.3765 0.4037 Columns 22 through 24 0.4329 0.4642 0.4977 Columns 25 through 27 0.5337 0.5722 0.6136 Columns 28 through 30 0.6579 0.7055 0.7565 Columns 31 through 33 0.8111 0.8697 0.9326 Columns 34 through 36 1.0000 1.0723 1.1498 Columns 37 through 39 1.2328 1.3219 1.4175 Columns 40 through 42 1.5199 1.6298 1.7475 Columns 43 through 45 1.8738 2.0092 2.1544 Columns 46 through 48 2.3101 2.4771 2.6561 Columns 49 through 51 2.8480 3.0539 3.2745 Columns 52 through 54 3.5112 3.7649 4.0370 Columns 55 through 57 4.3288 4.6416 4.9770 Columns 58 through 60 5.3367 5.7224 6.1359 Columns 61 through 63 6.5793 7.0548 7.5646 Columns 64 through 66 8.1113 8.6975 9.3260 Columns 67 through 69 10.0000 10.7227 11.4976 Columns 70 through 72 12.3285 13.2194 14.1747 Columns 73 through 75 15.1991 16.2975 17.4753 Columns 76 through 78 18.7382 20.0923 21.5443 Columns 79 through 81 23.1013 24.7708 26.5609 Columns 82 through 84 28.4804 30.5386 32.7455 Columns 85 through 87 35.1119 37.6494 40.3702 Columns 88 through 90 43.2876 46.4159 49.7702 Columns 91 through 93 53.3670 57.2237 61.3591 Columns 94 through 96 65.7933 70.5480 75.6463 Columns 97 through 99 81.1131 86.9749 93.2603 Column 100 100.0000

>> bode(sys,w)>> [Gm,pm,wpc,wcg]=margin(sys)

Gm = Infpm = 34.1764wpc = Infwcg = 3.1883

>> GmdB=20*log10(Gm)GmdB = Inf

>> [GmdB pm wpc,wcg]ans = Columns 1 through 3 Inf 34.1764 Inf Column 4 3.1883