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The forward path transfer function of a unity negative feedback system is given by G(s) = K/((s + 2)(s - 1))The value of K which will place both the poles of the closed-loop system at the same location, is ______. |
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Answer» Given G(s) = k/((s + 2)(s - 1)) H(s) = 1 Characteristic equation: 1 + G(s)H(s) = 0 1 + K/((s + 2)(s - 1)) = 0 The poles are s1,2 = - 1± √(9/4 - 4k) If 9/k - k = 0, then both poles of the closed loop system at the same location. So, K = 9/4 ⇒ 2.25 |
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