No. of Pages: 2
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, JULY 2021
Branch: Electrical and Electronics Engineering
Stream(s):
1.Control Systems
2.Guidance and Navigational Control
3. Electrical Machines
4. Power System and Control
5. Power Control and Drives
6. Power Electronics and Drives

01EE6101: DYNAMICS OF LINEAR SYSTEMS

Duration: 3 hrs Max. Marks: 60

Answer any two full questions from each PART
Limit answers to the required points.

PART A(Modules I and 11)

1. (a) Explain how steady state accuracy varies with the type of a system for different
input signals.

(b) Design a compensating network for the system G(s) = പിന്‌ so that
its phase margin is atleast 40° and the steady state error will not exceed 2% of

the final value.

2. (a) Derive the overall transfer function of a lag lead compensator network in pole-
zero form.

(b) The forward transfer function of a unity feedback system is G(s) = ಗ್‌ ರಾ] पक्का

Design a suitable lag compensator so that the system will have a damping ratio
of 0.5 and the steady state error will be limited to 0.125 for a unit ramp input.

3. (a) Explain the need of anti-windup circuit in an integral controller.
(b) Consider a unity feedback system with an open loop transfer function

G(s) = ರಾರಾ Design a PID controller, so that the phase margin of the

system is 50° at a frequency of 2rad/sec and the steady state error for unit ramp
input is 0.1
PART B(Modules 111 and IV)

4. (a) Obtain the controller canonical representation for the system whose transfer

⋅⋅⋅ ⊉⋂∙⋝⇄⊹↙⋯⋅⋚⊹⋯⊝
function is given by ‏ہے‎ ಆ ല്‍
ator 8 as a pla ans ti ग G(s) = 10
(b) A regulator system has a plant transfer function given by G(s) = ‏2167+ی بی‎

Design a state feedback controller such that the closed loop poles are located at
-10, -2 + 3 .

5. (a) Define the terms reachability, constructability and stabilizability.

(4)
(5)

(4)
(5)

(3)
(6)

(4)

(5)

(3)