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The steady state error of the system with a forward path transfer function G(s)=13(s-1)/(s-1) and with a parabolic input is _______

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The steady state error of the system with a forward path transfer function G(s)=13(s-1)/(s-1) and with a parabolic input is _______

(a) Infinite

(b) 0

(c) -Infinite

(d) Undefined

I have been asked this question in an interview.

My doubt is from Time Response of Control Systems in section Control System Applications of MATLAB

1 Answer

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Correct option is (a) Infinite

Easy explanation: The given system has no poles at s=0. This means that for a parabolic input, the parabolic error constant is 0. Hence, the steady state error will go to infinity. Thus option Infinite is correct only.

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