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Vincent Xie's Assignment 1

# Vincent Xie's Assignment 1 - EE4265Assignment1...

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EE4265 Assignment 1 Summary of Results The following graphs below are results from 2-points, Log, Area and Least Square methods  respectively.

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The following bode plot graphs below are results from 2-points, Log, Area and Least Square  methods respectively.
1. Creating the original transfer function First step is to create the high order transfer function as given in the assignment. >> num0 = [0 1]; >> root1 = [ -1; -1; -1; -1; -1; -1; -1]; >> d1 = poly(root1); >> d2 = [ 1 1]; >> den0 = conv(d1, d2); >> Hf0 = tf (num0, den0); >> bode (Hf0);

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>> step (num0, den0); Select Data Cursor Item in Tools menu. Create  datatip. Find 11 coordinates of the graph. Y(t) 3.24e-010 0.0011 6 0.089 8 0.299 0.556 0.62 4 0.80 9 0.90 4 0.96 1 0.98 6 1 Time(t) 0.252 2.02 4.54 6.3 8.07 8.57 10.3 11.8 13.6 15.4 20. 7
2.1 Using Two Points Method K = 1/1    = 1 t = 8.57 t = 6.3 T = 1.5(t 2 -t 1 )    = 3.4050 L = 0.5(3t 1 -t 2 )    = 5.1650  G P (s) = 1/(3.405s + 1) e      -5.165s     2.2 Verification: >> num1 = [0 1]; >> den1 = [3.405 1]; >> Hf1=tf(num1,den1,'Inputdelay',5.17); >> step(Hf1);

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>> hold; >> step(Hf0); >>  w = {10^-3,0.4} >> bode(Hf0,w) >> hold >> bode(Hf1,w)
3.1 Log Method

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