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A tachometer is used as an inner loop in a position control servo-system. What is the effect of feedback on the gain of the sub-loop incorporating tachometer and in the effective time constant of the system?

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A tachometer is used as an inner loop in a position control servo-system. What is the effect of feedback on the gain of the sub-loop incorporating tachometer and in the effective time constant of the system?

(a) Both are reduced

(b) Gain is reduced but the time constant is increased

(c) Gain is increased but the time constant is reduced

(d) Both are increased

The question was asked in an online quiz.

My question is from State Models for Linear Continuous-Time Systems in chapter State Variable Analysis and Design of Control Systems

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The correct answer is (a) Both are reduced

The explanation is: Tachometer is the device that is used to control the speed of motor in the control system and Feedback and effective time constant of the system both are reduced on the gain of the sub-loop.

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