No. of Pages: 2

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, July
2018 Branch: Electrical and Electronics Engineering Stream(s):

1. Control Systems
2 Guidance and Navzgational Control
3. Electrical Machines
4. Power System and Control
5. Power Control 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
1.(೩) Derive the overall transfer function of a lag lead compensator network in pole- (3) zero form.

(0) The open loop transfer function of a unity feedback system is (6)
G(s) = எனை

2. (a) Realize a lag compensator using operational amplifiers. (3)

(b) Coe a suitable compensator for the system whose open loop transfer function (6)
$) - எண

3 (a) Explain the Ziegler-Nichols methods for tuning the PID controllers. (3)

(b) Consider a system with an open loop transfer function G(s) s(s+O.5)4 Design (6) a cascade compensator to meet the foliowing
specifications, the damping ratio of the dominant closed loop pole is 0.5, the undamped natural frequency is Srad/sec and
Kv = 80sec-l.

PART 8
4 Obtain the controller canonical realization, controllability canonical realization, ob- (9) server canonical realization and observability canonical
realization for the system whose transfer function is given by 4s3+25s2+45s+34
‏و3+6و‎ 1+109+8 `
5. (a) Derive the Bass-Gura, formula for determining the state feedback gain matrix. (b) (3)
With the help of a suitable example analyze the stability of a system by pole (6)

zero cancellation.

6. Solve +(t) = 4 (0200. B(t)u(t) where (9)

५७० (३ ५१). ००- (१)

2
iven, 20 = ( 0 )
for a unit step input. Given, 220 1 ೫೦