QUESTION BANK
SUBJECT: CONTROL SYSTEMS
SUBJECT CODE: 18EC52
1. a. Generate the Force current analogous and Force voltage analogous for the given
system shown in fig.1. Draw its Equivalent Mechanical system.
Fig.1
b. Obtain the transfer function by constructing SFG and Mason’s Gain formula for the
given system shown in fig.2.
Fig.2
2. a. Derive expressions for the following specifications of second order system for a
unit step input.
, 1. Rise time
2. Peak time
b. Obtain Kp, Kv, Ka and steady state error(ess) for a system with open loop transfer
function as given below where the input is r(t) = 3+t+t2.
3. a. Represent the stability of the systems represented by the characteristic equation
S6+3S5+5S4+9S3+8S2+6S+4 = 0 by means of the Routh criterion. Determine the
number of roots the characteristic equation lying in the right half of S-plane.
b. Draw the Root Locus plot for the transfer function given as.
4. a. Illustrate with Routh array and determine the stability of the system whose
characteristic equation is S4+25S3+15S2+20S+K = 0.
b. Draw the Root Locus plot for negative feedback control system have open loop
transfer function.
SUBJECT: CONTROL SYSTEMS
SUBJECT CODE: 18EC52
1. a. Generate the Force current analogous and Force voltage analogous for the given
system shown in fig.1. Draw its Equivalent Mechanical system.
Fig.1
b. Obtain the transfer function by constructing SFG and Mason’s Gain formula for the
given system shown in fig.2.
Fig.2
2. a. Derive expressions for the following specifications of second order system for a
unit step input.
, 1. Rise time
2. Peak time
b. Obtain Kp, Kv, Ka and steady state error(ess) for a system with open loop transfer
function as given below where the input is r(t) = 3+t+t2.
3. a. Represent the stability of the systems represented by the characteristic equation
S6+3S5+5S4+9S3+8S2+6S+4 = 0 by means of the Routh criterion. Determine the
number of roots the characteristic equation lying in the right half of S-plane.
b. Draw the Root Locus plot for the transfer function given as.
4. a. Illustrate with Routh array and determine the stability of the system whose
characteristic equation is S4+25S3+15S2+20S+K = 0.
b. Draw the Root Locus plot for negative feedback control system have open loop
transfer function.
