Stability Theory – Exercise – 1

41. Sinusoidal oscillators are :

(a) stable
(b) unstable
(c) marginally stable
(d) conditionally stable

Answer
Answer : (c)
Explanation
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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)
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43. The routh stability criterion for testing the stability of system is :

(a) an algebraic method
(b) a graphical method
(c) combination of a and b
(d) none of these

Answer
Answer : (a)
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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)
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45. Because of the addition of a zero to G(s)H(s), the stability of the system is :

(a) improved
(b) reduced
(c) not affected
(d) none of these

Answer
Answer : (a)
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