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Consider the unity feedback system with open loop transfer function the minimum value of the steady state error to a ramp input r(t) = 6tu(t) is OLTF = K/s(s+1)(s+2)

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Consider the unity feedback system with open loop transfer function the minimum value of the steady state error to a ramp input r(t) = 6tu(t) is OLTF = K/s(s+1)(s+2)

(a) 1

(b) 2

(c) 3

(d) 4

The question was asked in an international level competition.

My question is based upon Steady-state Errors and Error Constants topic in division Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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Correct choice is (b) 2

To explain: Routh-Hurwitz criterion is used to calculate the stability of the system by checking the sign changes of the first row and from Routh-Hurwitz criterion maximum value of K = 6 ess = A/Kv for type-1 system and A = 6then for Kv = K/2, ess = 2.

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