Control System and Analysis — Winter 2021

Define the LTI Control system with appropriate example.

Classify control system with necessary examples.

Obtain the inverse Laplace transform of given F(s). (s−2) F(s) = s(s+1)3

Draw the response of muscle stretch reflex model.

Draw and illustrate the transient impulse and step response of a second order system.

Obtain the transfer function C(s)/R(s) of below given signal flow graph by using mason's gain formula.

Obtain the close-loop transfer function C(s)/R(s) of given block diagram by reduction technique.

Enlist the demerits of Hurwitz stability analysis method.

Equate the simple model of lung mechanics.

Draw the equivalent mechanical system and analogous systems based on F- Vand F-Imethods for the below given system.1

Aclosed loop system has two complex conjugate poles at s , s = -2 ± j 1. Determine the form of transfer function and values of ω , T , T , Tand % M n P R S P assuming standard second order system.

Asystem has 30% overshoot and settling time of 5 sec, for a unit step input. Determine the transfer function. Calculate peak time and output response. Assume e as 2%. ss

Consider a unity-feedback control system with the open-loop transfer function G(s) = Determine the value of the gain Ksuch that the phase margin is 50˚. What is the gain margin with this gain K?

Discuss Routh’s stability criteria for below given characteristic equation. S6 + 3S5 + 7S4 + 15S3 + 9S2 + 11S + 13 = 0

Describe the effect of adding a zero and pole to a system with appropriate example.

242(s5) For a unity feedback system, G(s) , sketch the bode s(s1)(s2 5s121) plot. Find the values of ω and ω . gc pc

Explain PID Controller with necessary example.

Find the range of Kand Kfor which the system given below is stable. mar S4 + 2s3 + 2s2 + (3+K)s + K=0

Find the loci of roots for a unity feedback system and comment on stability.

For the unity feedback control system having open loop transfer function given below, determine the system “TYPE” and error constant K , K , K . p v a G(s) =

Determine the transfer function for the bode plot shown below.2

Obtain a state-space equation and output equation for the system defined by Y(s) 3s3+ s2+ 3s + 1 = U(s) s3+ 2s2+ 4s + 1

Define Gain Margin and Phase margin and their relationship with system stability.

Obtain the transfer function of the system defined by

Draw the nyquist plot and comment on stability for below given system.