The closed loop transfer function of a control system is given byCs-Rs-2s-1-s-2s-1for a unit step input the output is

C(s)/1/s=2(s 1)/(s+2)(s+1) C(s)= 1/s+ 3/s+2+4/s+1 ∴ C(t)= 1 3e^ 2t+4e^ t ...

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

Byju's Answer

Standard IX

Physics

Equivalent Resistance in Series Circuit

The closed lo...

Question

The closed loop transfer function of a control system is given by

$\frac{C (s)}{R (s)} = \frac{2 (s - 1)}{(s + 2) (s + 1)}$

for a unit step input the output is

- 3 e^{- 2 t} + 4 e^{- t} - 1

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

- 3 e^{- 2 t} - 4 e^{- t} + 1

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

zero

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

infinity

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

Open in App

Solution

The correct option is A $- 3 e^{- 2 t} + 4 e^{- t} - 1$
$\frac{C (s)}{1 / s} = \frac{2 (s - 1)}{(s + 2) (s + 1)}$

$C (s) = \frac{- 1}{s} + \frac{- 3}{s + 2} + \frac{4}{s + 1}$

$∴ C (t) = - 1 - 3 e^{- 2 t} + 4 e^{- t}$

Suggest Corrections

Similar questions

Q. The closed loop transfer function of a control system is given by

\frac{C (s)}{R (s)} = \frac{1}{(1 + s)}

For the input

r (t) = s i n t,

the steady state value of

c (t)

is equal to

Q. If the closed-loop transfer function of a control system is given as

T (s) = \frac{s - 5}{(s + 2) (s + 3)}

,then it is

Q. Consider a feedback control system with loop transfer function

G (s) H (s) = \frac{K (1 + 0.5 s)}{s (1 + s) (1 + 2 s)}

The type of the closed loop system is

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. The Closed loop transfer function of a control system is given by

\frac{C (s)}{R (s)} = \frac{1}{s + 1}

. For the input r(t) = sin t, the steady response c(t)______.

Join BYJU'S Learning Program

The closed loop transfer function of a control system is given by C(s)R(s)=2(s−1)(s+2)(s+1) for a unit step input the output is

The correct option is A −3e−2t+4e−t−1C(s)1/s=2(s−1)(s+2)(s+1) C(s)=−1s+−3s+2+4s+1 ∴C(t)=−1−3e−2t+4e−t

The closed loop transfer function of a control system is given by

$\frac{C (s)}{R (s)} = \frac{2 (s - 1)}{(s + 2) (s + 1)}$

for a unit step input the output is

The correct option is A $- 3 e^{- 2 t} + 4 e^{- t} - 1$
$\frac{C (s)}{1 / s} = \frac{2 (s - 1)}{(s + 2) (s + 1)}$

$C (s) = \frac{- 1}{s} + \frac{- 3}{s + 2} + \frac{4}{s + 1}$

$∴ C (t) = - 1 - 3 e^{- 2 t} + 4 e^{- t}$