A unity feedback system has open loop transfer function Gs-25ss-6- The peak overshoot in the step-input response of the system in approximately equal to

G(s)=25s(s+6) Characteristic equation: 1+G(s)=0 1+25s(s+6)=0 ⇒ s^2+6s+25=0 On comparing with s^2+2ξω_ns+ω_n^2=0 we get, nbsp; ω_n=5 and ξ=0.6 ∵ M_p=e^ ( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Control Systems

Time Domain Specifications-2

A unity feedb...

Question

A unity feedback system has open loop transfer function $G (s) = \frac{25}{s (s + 6)} .$ The peak overshoot in the step-input response of the system in approximately equal to

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10%

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

15%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 10%
$G (s) = \frac{25}{s (s + 6)}$

Characteristic equation:
$1 + G (s) = 0$
$1 + \frac{25}{s (s + 6)} = 0$
$\Rightarrow s^{2} + 6 s + 25 = 0$

On comparing with
$s^{2} + 2 ξ ω_{n} s + ω_{n}^{2} = 0$

we get,
$ω_{n} = 5 a n d ξ = 0.6$
$∵ M_{p} = e^{⎛ ⎜ ⎜ ⎝ \frac{- ξ π}{\sqrt{1 - ξ^{2}}} ⎞ ⎟ ⎟ ⎠} = 0.0948 \equiv 10 %$

Suggest Corrections

Similar questions

Q. Consider the unit step response of a unity feedback control system whose open loop transfer function is

G (s) = \frac{1}{s (s + 1)}

The maximum overshoot is equal to

The open-loop transfer function of a unity-feedback control system is given by
$G (s) = \frac{K}{s (s + 2)}$
For the peak overshoot of the closed-loop system to a unit step input to be $10 %,$ the value of $K$ is

Q. Consider open loop transfer function of unity negative feedback system as

G (s) = \frac{K (s^{2} + 16)}{s (s + 4)}

breakaway point is /are :

Q. A unity feedback system has the open loop transfer function,

G (s) = \frac{1}{(s - 1) (s + 2) (s + 3)}

The Nyquist plot of G(s) encircle the origin.

Q. A unity-feedback control system has the open-loop transfer function

G (s) = \frac{4 (1 + 2 s)}{s^{2} (s + 2)}

if the input to the system is a unit ramp, the steady-state error will be

Join BYJU'S Learning Program

A unity feedback system has open loop transfer function G(s)=25s(s+6). The peak overshoot in the step-input response of the system in approximately equal to

The correct option is B 10%G(s)=25s(s+6) Characteristic equation: 1+G(s)=0 1+25s(s+6)=0 ⇒s2+6s+25=0 On comparing with s2+2ξωns+ω2n=0 we get, ωn=5 and ξ=0.6 ∵Mp=e⎛⎜ ⎜⎝−ξπ√1−ξ2⎞⎟ ⎟⎠=0.0948≡10%

A unity feedback system has open loop transfer function $G (s) = \frac{25}{s (s + 6)} .$ The peak overshoot in the step-input response of the system in approximately equal to