Calculate by Using MatLab the following transfer functions: 20(s + 2)(s 3 s +6)(

Question

Calculate by Using MatLab the following transfer functions: 20(s + 2)(s 3 s +6)(s +8) 7)(s 9)(s 10)(s 15) a. G1(s)= represented as a numerator polynomial divided by a denominator polynomial s4 17s3 +99s2 +223s 140 = S5 + 32s4 + 363s3 + 2092s2 + 5052s + 4320. b. G2(s) expressed as factors in the numerator divided by factors in the denominator, similar to the form of Gi(s) in Prelab 3a. c. G3(s) = Gi (s) + G2(s); Ga(s) = G1 (s)-G2(s); Gs(s) = Gi (s)G2(s) expressed as factors divided by factors and expressed as polynomials divided by polynomials

Explanation / Answer

here's the code:

a>
%g1 is declared with zero & pole form
g1=zpk([-2 -3 -6 -8],[0 -7 -9 -10 -15], 20);
%g1 is displayed in polynomial form
tf(g1)

b>
%g2 is declared in polynomial form
g2=tf([1 17 99 223 140],[1 32 363 2092 5052 4320]);
% converted to zeros & poles form
zpk(g2)

c>
%this result is displayed in zero & poles form
g3=g1+g2

%this shows the transfer function in polynomial form
tf(g3)

g4=g1-g2
tf(g4)

g5=g1*g2
tf(g5)

If any clarification needed, please let me know in the comments.

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