APJ ABDUL KALAM TECHNOLOGICAL UNIVERS
SECOND SEMESTER M.TECH DEGREE EXAMINATION, M
Electrical and Electronics Engineering
Control Systems, Guidance and Navigational Control

OIEE6104: NONLINEAR CONTROL SYSTEMS

Time: 3 hrs Max. Marks: 60

Answer any two full questions from each part
PART A

1. (a) Find all equilibrium points of the system
21 = -21 + മോ — 02122 + 22

a,i2 — -(2 -F b)Il H- 0८12 - © 1 L2where a > 0 and 9 74
0

(0) Determine the type of each isolated equilibrium point for all values of a > 0 and (3)

(c) Construct the phase portrait and discuss the qualitative behavior of the system (3)
when ab — 1.

2. Construct an approximate phase trajectory for the following nonlinear system. (9)
Choose appropriate initia] conditions.

3. (a) Sta.te and explain the theorems (local and global) on the uniqueness and exis- (3)
tence of solutions.

(b) State and prove the theorem on continuity of solutions in terms of initial states (6)
and parameters.