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A unity feedback sustem has G(s) = $\frac{20(s+1)}{(s^2)(s+2)(s+4)}$ find :

i. All static error co-efficients ($ K_p , K_v , K_a $)

ii. Steady state error of ramp input with magnitude 4.

Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic : Time Response Analysis

Difficulty : High

Marks : 10M

1 Answer
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Given, G(s) = $\frac{20(s+1)}{s^2(s+2)(s+4)}$

let, H(s) = 1 (unity feedback)

=> G(s)H(s) = $\frac{20(s+1)}{s^2(s+1)(s+4)}$

Since, there is two pole at the origin, This is type 2 system.

Hence it would give us finite steady state error only for parabolic input. For step and ramp input, it would give us zero …

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