APJ ABDUL KALAM TECHNOLOGICAL UNIV
SECOND SEMESTER M.TECH DEGREE EXAMINATION, APRII.

Electrical and Electronics Engineering
Control Systems, Guidance and Navigational Control

0156116: SLIDING MODE CONTROL
Time: 3 hrs Max. Marks: 60
Answer any two full questions from each
part
PART A(MOdule 1 and 11)
1. (a)explain the terms reaching condition, finite time reaching
and reachability (4) condition.

(b) What are the conditions to be satisfied for a system to
be finite time stable. (5) Derive the time of reaching tr for a finite time
stable system.

2. (a) Explain the significance of equivalent control. (3)
(b) Obtain the equivalent control for a simple pendulum with friction, when a
torque (6)is applied.
3. (a)Explain the linear quadratic minimization technique for

the design of sliding (5) surface.
(b) Consider the system (4)

°= (५ 8)7+(१)
4 9 1 /( + 0.5cost)

Design a stable sliding surface for the given system.
PART B(MOdule 111 and IV)

4. (a) Explain the condition for convergence based on Sarpturk
reaching [aw in discrete (3)time systems.
(b) Explain the technique of an integral sliding mode

control. Obtain the structure (6) ہ٤‎ the control law in
ISMC and show that the disturbance is completely rejected

in steady state.
5. (a) Derive an expression for quasi sliding mode band in
discrete time systems. (3)

(b) Obtain the multirate output feedback based quasi sliding mode control for an
(6)uncertain discrete time system.

6. (a) Explain the significance of multirate output feedback
control (2)