(3 pages)
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH DEGREE EXAMINATION, MAY 2016

Electrical & Electronics Engineering

(Control Systems, Guidance and Navigational Control, Electrical Machines, Power System
and Control)
01886116: SLIDING MODE CONTROL

Time: 3 Hours Max Marks: 60

Answer any two FULL questionsfrom each part
Part A (Modules I & 11)
1) @.Consider a system described by * = f(x,t, u) with scalar control u subject to discontinuities

on some sliding surface given by Assume that the switch performing the control has a
hysteresis. Prove that the velocity vector that will be obtained in the above case is one

and the same as that obtained using Filippov's continuation method. (6)

ற்‌. For an 17 order continuous time system derive a sliding mode control using a reaching
law approach based on proportional rate reaching law if the sliding surface is

chosen as 5=c x. (3)

2) @Design a sliding surface using eigen value placement for the system described by

3 இ! 0 1
2510 1 3 [+| 1 -1 |
1 0 1 -10

(6)

b. Differentiate between sliding mode control and variable structure control with the help of

an example. (3)