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Integral of a control system provides __________

(a) Low steady state error

(b) Gain proportional to error

(c) Reduced overshoot

(d) infinite gain

This question was addressed to me in homework.

This intriguing question originated from Control Laws in FBW topic in section Fly by Wire Flight Control of Avionics

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The correct option is (a) Low steady state error

Easiest explanation: Integral of error control eliminates steady-state errors and reduces the following lag. The integral of error term increases the loop gain at low frequencies up to theoretically infinite gain at dc so that there are zero steady-state errors due to out of trim external moments or forces acting on the aircraft.

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