GTU BE 8th Semester 2180913 Advanced Control Systems(Departmental Elective – III) Summer 2018 Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE – SEMESTER ?VIII (NEW) – EXAMINATION ? SUMMER 2018
Subject Code: 2180913 Date: 30/04/2018
Subject Name: Advanced Control Systems(Departmental Elective – III)
Time: 10:30 AM to 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) What is disturbance signal in control system? Explain how disturbance can be
reduced using feedback control system.
03
(b) Explain observability for a state space system using suitable block diagram.
method.
04
(c) Determine the necessary and sufficient condition for a system to be completely
state controllable using Kalman?s Controllability test.
07
Q.2 (a)Explain Pell?s Method in Phase Plane Analysis
03
(b) Explain State Space Representation of Nth Order Linear Differential Equation
04
(c) Explain why do we need state variable approach to control system analysis?
How it is superior to classical approach?
07
OR
(c) Explain Cayley Hamilton Theorem and discuss how it can be used to find the
state transition matrix.
07
Q.3 (a) Write and prove the properties of State Transition Matrix (STM). 03
(b) Define the terms State Variable and State Transition Matrix. 04
(c) Discuss the concept of Kalman?s controllability and observability test in detail. 07
OR
Q.3 (a) Explain the design procedure of a full state observer 03
(b) Explain Lienard?s Method in Phase Plane Analysis 04
(c) Write a short note on advantages and limitations of state variable approach. 07
Q.4 (a) Draw and explain generalized block diagram of state space equations 03
(b) Give comparison between transfer function based control design and state
variable based control design.
04
(c) Prove that the necessary and sufficient condition for arbitrary pole placement
is that the system is completely state controllable.
07

OR
Q.4 (a) When is a system said to be completely controllable? 03
(b) Discuss basic feature of following non linearities 1).non linear friction
2).on off controller
04
(c) Explain need for reshaping of root locus plot.
07
Q.5 (a) Explain the construction of a phase trajectories by delta method 03
(b) Explain Liapunov?s second method and his stability theorem. 04
(c) Explain sampled data control system using suitable block diagram 07
OR
Q.5 (a) Explain positive definite, positive semi definite and indefinite function 03
(b) Discuss necessary and sufficient condition for state observation 04
(c) What are the singular points? Explain different singular points adopted in non
linear control system?
07
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