just solve b please, a is already solved and the answer
for it is included for reference
Just Solve B Please A Is Already Solved And The Answer For It Is Included For Reference 1 (51.76 KiB) Viewed 13 times
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Q2 Given mathematical model of a system as following: x = -2x + 5y y = f(t)- 6y - 4x (a) Determine the transfer functions X(s)/F(s) and Y(s)/F (s) of the system. (10 marks) (b) By comparing the results in Q2(a), evaluate the stability and other performance characteristics of the systems, respectively. (10 marks)
x = -2x + 5y hiy=-211x} + 5l {y} Assume, X(0)30 5X652 = -2x6₁²2= 5762 Y₁5) = (+2) Xcs) = (+2) X 5 4 = f₁²²-64-4x Lhy} = Life ₂3 - 6₁ hy) - 426x² Assume Y(0)=0 SYG₂ = F0₂-67157 - 4X (5) • (5+6) Y(s) = F(S) = AX (5) (2) Substitute eg into eq. @ A (5+6) (5+2) Xcs) = FOS) - A XC52 (4 85 +120 X 60 (+85+12) X (5) + 4 X₂ = FG 5 • (5²+85+12+ (0)(5)) Yusu = Fo
Xos (3 FG) 5² +85+32 Y₁ = (5+2) Xcs2 5 YG2 (5+2) Xcs) 0 n For 5 FG Substitute eg (3) into ea. Ⓒ Y(S) (5+2) * 5 Now F52 For S 5² +85732 S+2 5² +85+32
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