42. The open-loop transfer function of a control system is given by G(s) = (K(s+8))/(S( s+4)(s+a)) The smallest possible value of a for which the system is stable in the closed-loop for all positive value of K is :
(a)0 (b)4 (c)8 (d)12
Answer
Answer : (b)
Explanation
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Stability Theory » Exercise - 140. The open-loop transfer function of a unity feedback control system is G(s)H(s) = 225/(S( s+2)(s +T)) Where T is a variable parameter The closed-loop system will be stable for all values of (a) T > 0 (b) 0 < K < 00 (c) >11 (d) positive
Stability Theory » Exercise - 1 1. The loop transfer function of a feedback control system is given by Number of asymptotes of its root loci is : (a) 1 (b) 2 (c) 3 (d) 4
Stability Theory » Exercise - 144. The open-loop transfer function of a unity negative feedback control system is given by G(s) = (K(s+4))/(S( s+2)(s+6)) For K >4, the stability characteristics of the open-loop and closedloop configurations of the system are, respectively (a) stable and stable (b) unstable and stable (c) stable and unstable (d) unstable and unstable
Stability Theory » Exercise - 17. The transfer function of a control system is given as where k is the gain of the system in radians/amp. For this system to be critically damped, the value of k should be : (a) 1 (b) 2 (c) 3 (d) 4
Stability Theory » Exercise - 117. The open-loop transfer function of a control system has 5 poles and 3 zeros. The number of asymptotes is equal to : (a) 5 (b) 3 (c) 2 (d) 8