44. 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
Answer
Answer : (b)
Explanation
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Stability Theory » Exercise - 142. 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
Stability Theory » Exercise - 132. If all the roots of the characteristic equation have negative real parts, then the system is : (a) stable (b) unstable (c) conditionally stable (d) marginally stable
Stability Theory » Exercise - 133. If the system has non repeated poles on the jω axis, the system is : (a) stable (b) unstable (c) marginally stable (d) conditionally stable
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