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Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path a

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108 where Tor a unity ofeedback defined as 1(s) - systems the plant le (5-3) (15) solution & Coliven, |< (5) = (Sf5) (543)ی P1 pole at origin 2 pole al origin e nt encirclement clockwith 2 nn encio element clockutse 270 >0°(360) > Rough sketch 180 -3Putting the value of Nt and pt insequation f O Z - 2 Means Inclosed loop so poles lies on the Right side Half of the s-plane.1588-kzo K - 1588 K=120 a © solution 8 s 2+kro 85²+120=0 85² =-120 2 os - 120 8 - 15 s = s=1515 Szti (3.872) s = = jw w = 3.8

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