COMSATS University Islamabad, Wah Campus
Terminal Examinations Spring 2021
Department of Electrical and Computer Engineering
Program/Class:___BEE/6C_________
Subject: _Control Systems__
Total Time Allowed:_3 Hours (09:00-12:00 hrs)__
Student Name: ___________________________
Date: ___________09-July-2021____________
Instructor: __Engr.Saad Hassan
Maximum Marks: _______50______________
Registration#: ___________________________
Q1: Determine the stability of following system using the Routh-Hurwitz method. [CLO-2, PLO-2] (12.5)
1
𝑆
R(s)
E(s)
2
𝑆+3
50
Y(s)
3
1
𝑆+2
x
Q2) In many modern automobiles cruise control is used to reduce driver fatigue, instead of pressing the
accelerator pedal, to control throttle it uses actuator. Cruise control is connected to accelerator and to
maintain the preset speed it uses an actuator for controlling the throttle. Design a PID controller using
Ziegler-Nichol’s method for this system so that the speed of vehicle can be controlled.
[CLO-3, PLO-3] (12.5)
Where
(M)
(b)
mass of the vehicle
damping coefficient
X*100 kg
500/X N.sec/m
Q3. Determine the output responses for the two mass bodies mechanical system described in figure
below. All initial conditions are zero. [CLO-1, PLO-1] (12.5)
f1=sin t
f2=9 𝑡 2
Q4.For the following electric circuit, design a close loop state space system using the pole placement
technique which tracks a unit step input. The desired roots in complex plane should be place in such a
way that the system achieves minimum settling time having undamped natural frequency equal to 4. The
state variables are voltage across capacitor (also the output) and current through inductor. [CLO-3, PLO-3]
(12.5)
Note: in all the questions there is a variable X
X=Your Registration Number e.g. if your registration number FA18-BEE-032/WAH
than X=32