b) Explain various time domain specifications with neat sketch and mention the

corresponding equations also. (7)
PARTB
Answer any two full questions, each carries 15 marks.
10(s+100
4. a) Draw the bode plot for G(s) H (s) = ಜ್‌ Find gain

margin and phase margin and hence comment on the stability of the system. (12)
b) Find damping ratio and natural frequency of oscillation of a second order

⇀⊳⋅ C(s 9
system whose closed loop transfer function is given by नर न्द्ध्व
5 5 5

(3)

5. a) Construct Routh array and determine the stability of the system represented by

the characteristic equation S°+2S°+S4+2S*+S?+2s+ 1=0.Comment on the location

of roots in s plane (8)
b) Describe the design procedure of lead compensator (7)
6. a) Sketch the root locus whose open loop transfer function is (12)

K

G(s) = ಸಾ

and comment on the stability of the system.

b) Explain frequency domain specification with the help of bode plot and state the
condition for stability. (3)

PART ©
Answer any two full questions, each carries 20 marks
7. a) Consider the system with state equation

0 0 1 01 [1 0
| = | 0 0 1 || 2 | + 0 ۰٠۰
a 6 -11 -6 ‏وكا‎ 1

Estimate state controllability by Gilbert Test (8)