6. Find the sector which the given transfer function is
absolutely stable using Popov Criteria

(9 marks) 32-533
(9x2=18 marks)
PART C

7. Find feedback control and a change of variable that linearizes
the following system
2 23 (142)

ಸ) = 21+ (1422) u

೫3 = x2(1+x1) - X3u (12
8. Explain the following +"
(a) Gain Scheduling (4
marks)
(2) integral control via Linearization (4
marks)
(c) Feedback linearization (4
marks)

9. (a) Using backstepping, design a state feedback control law to
globally stabilize the following
system

[ 12 ‏-۔‎ x3 + X2
2 = ४ ४ (8 marks)

(1) What is meant by Stabilization via linearization? (4 marks)

(12>0=24 marks)