Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Consider a ufb system with forward-path tran...
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Consider a ufb system with forward-path transfer function G (s) = 
. The system is stable for the range of K.
. The system is stable for the range of K.Which of the following is correct?
- a)K > 0
- b)K < />
- c)K > 1
- d)Always unstable
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Consider a ufb system with forward-path transfer function G (s) = ...
G(s) = K(s + 3)/s4(s + 2)
It can be written as:
G(s) = K(s + 3)/(s5 + 2s4 + ks + 1)
Roth-Hurwitz stability criterion states that the necessary and sufficient condition for stability is that all the elements in the first column of the Routh array should be positive. If the condition is not satisfied, then the system is unstable.
The characteristic equation for this is s5 + 2s4 + ks + 1 = 0.
In the first column of the Routh array for the given characteristic equation, the value corresponding to s1 is -2, which is not positive. So, the system is unstable.
Alternate solution
In the given ufb system, the values of s3 and s2 are missing. Hence, it is always unstable.
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Consider a ufb system with forward-path transfer function G (s) = . The system is stable for the range of K.Which of the following is correct?a)K > 0b)K c)K > 1d)Always unstableCorrect answer is option 'D'. Can you explain this answer?
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