Download GTU BE/B.Tech 2019 Winter 8th Sem New 2180913 Advanced Control Systems Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 8th Sem New 2180913 Advanced Control Systems Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? VIII (New) EXAMINATION ? WINTER 2019
Subject Code: 2180913 Date: 21/11/2019

Subject Name: Advanced Control Systems
Time: 02:30 PM TO 05:00 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 are the advantages of state space modeling technique over the transfer
function modeling technique in control system analysis?
03
(b) With neat block diagram representations discuss cascade decomposition
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) Define the terms State Variable and State Transition Matrix. 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? 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) Explain Pell?s Method in Phase Plane Analysis 04
(c) Discuss the concept of Kalman?s controllability and observability test in detail. 07
OR
Q.3 (a) When is a system said to be completely controllable? 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) Explain Pell?s Method in Phase Plane Analysis 03
(b) Explain Cayley Hamilton Theorem and discuss how it can be used to find the
state transition matrix.
04
(c) Explain state variable approach to control system analysis is superior to
classical approach?
07

OR
Q.4 (a) Explain the design procedure of a full state observer. 03
(b) Discuss basic feature of following non linearities 1).non linear friction
2).on off controller
04
(c) Prove that the necessary and sufficient condition for arbitrary pole placement
is that the system is completely state controllable.
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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