A two-loop position control system is shown below.The gain

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A two-loop position control system is shown below.

The gain k of the Tacho-generator influences mainly

1. peak overshoot
2. natural frequency of oscillation
3. phase shift of the closed loop transfer function at very low frequencies (ω → 0)
4. phase shift of the closed loop transfer function at very high frequencies (ω → ∞)

Correct Option: A

	Y(s)	=	1
	R(s)		s² + (k + 1)s + 1

2ω_n = k + 1

⇒ ξ =		k + 1		;
		2

Peak over shoot = e^{– πξ} / (1 – ξ²)