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A unity feedback system has the open loop transfer function G(s)=1/((s−1)(s+2)(s+3))
The Nyquist plot of GG encircle the origin
The Nyquist plot of GG encircle the origin
- a)Never
- b)Once
- c)Twice
- d)Thrice
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A unity feedback system has the open loop transfer functionG(s)=1/((s&...
+1)(s+2)(s+3))
To find the closed loop transfer function, we need to use the formula:
H(s) = G(s) / (1 + G(s)H(s))
where H(s) is the transfer function of the feedback loop.
Substituting G(s) into the formula, we get:
H(s) = 1/((s+1)(s+2)(s+3) + 1)
Simplifying the denominator, we get:
H(s) = 1/((s^3 + 6s^2 + 11s + 6))
Now we have the closed loop transfer function.
To find the closed loop transfer function, we need to use the formula:
H(s) = G(s) / (1 + G(s)H(s))
where H(s) is the transfer function of the feedback loop.
Substituting G(s) into the formula, we get:
H(s) = 1/((s+1)(s+2)(s+3) + 1)
Simplifying the denominator, we get:
H(s) = 1/((s^3 + 6s^2 + 11s + 6))
Now we have the closed loop transfer function.
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Community Answer
A unity feedback system has the open loop transfer functionG(s)=1/((s&...
Here, for the encirclement of origin, i.e. (0,0) , we must consider the open loop poles and open loop zeros lying in the right half of the S-plane.
Now, from the given open loop transfer function, the number of open loop poles lying in the right half = P = 1, and number of zeros = Z = 0. So, number of encirclements about origin = N = P - Z = 1.
Now, from the given open loop transfer function, the number of open loop poles lying in the right half = P = 1, and number of zeros = Z = 0. So, number of encirclements about origin = N = P - Z = 1.
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A unity feedback system has the open loop transfer functionG(s)=1/((s−1)(s+2)(s+3))The Nyquist plot ofGGencircle the origina)Neverb)Oncec)Twiced)ThriceCorrect answer is option 'B'. Can you explain this answer?
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