prove the following 2 F(s) Y (s) 2s + 2 s(s2 +2s + 2) 1 1 1 s + 1 1 2 2 S (1+di+) 1++) ) -3( s +1 1 1 1 -2ES 2 2 2 F(s) Y (s) 2s + 2 s(s2 +2s + 2) 1 1 1 s + 1 1 2 2 S (1+di+) 1++) ) -3( s +1 1 1 1 -2ES 2 2
Question 1- Plot the root loci for the closed-loop control systems with K s b) Gs)H(S)425+2 s2+2s+2 c) G (s)H(s) = K+22+2 K(s+2) K (s+6) K(s+18) K(s+4.5) = (s+5)(s2 +25+5) f) G (s)H(s) K (s2+3s+9) g) G (s)H(S)-(s+5)(s2+2s+s) h) G (s)H(s) = (s+5)(S2 + 25+5) i) G (s)H(s) = s(s+5)(s2+2s +5) Question 1- Plot the root loci for the closed-loop control systems with K s b) Gs)H(S)425+2 s2+2s+2 c) G (s)H(s) = K+22+2 K(s+2) K (s+6) K(s+18) K(s+4.5) = (s+5)(s2...
Solve 2+2s+3 (s2 +2s+2)(s2 +2s+5)
3. Use method of residues to calculate inverse Laplace Transform of the following: s4-2s+1 s2 (s2+4) s2-2s+1 a) X(s (b) X(s) = (s+2)2+4
s2+2s+6 (1)Find fo if Fs) (+3)(s+1)2 (50 points)
with an angle of departure and arrivals Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4) Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4) 7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
Blance net ionic equation: H 2S + NO 3− + H + → S + NO + H 2O
find L^-1 {4s/s^2 + 2s -3} 4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.