Subject Code:2180913
GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER-VIII(NEW) EXAMINATION - SUMMER 2019
Subject Name:Advanced Control Systems
Time:10:30 AM TO 01:00 PM
Date:09/05/2019
Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
MARKS
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Q.1 (a) Write and prove the properties of State Transition Matrix (STM). 03
(b) Explain State Space Representation of Nth Order Linear Differential Equation. 04
(c) Determine the necessary and sufficient condition for a system to be completely 07 state controllable using Kalman’s Controllability test.
Q.2 (a) What is disturbance signal in control system? Explain how disturbance can be 03 reduced using feedback control system.
(b) Discuss necessary and sufficient condition for state observation. 04
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(c) Write a short note on advantages and limitations of state variable approach. 07
OR
(c) Explain why do we need state variable approach to control system analysis? How 07 it is superior to classical approach?
Q.3 (a) Draw and explain generalized block diagram of state space equations. 03
(b) Discuss basic feature of following non linearities: 04
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- Non linear friction
- On off controller
(c) Explain sampled data control system using suitable block diagram. 07
OR
Q.3 (a) Explain the construction of a phase trajectories by delta method. 03
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(b) Explain observability for a state space system using suitable block diagram. 04
(c) Explain Cayley Hamilton Theorem and discuss how it can be used to find the 07 state transition matrix.
Q.4 (a) Explain the design procedure of a full state observer. 03
(b) Explain Lyapunov’s second method and his stability theorem. 04
(c) Discuss the concept of Kalman’s controllability and observability test in detail. 07
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OR
Q.4 (a) Explain positive-definite, positive semi definite and indefinite function. 03
(b) Define the terms State Variable and State Transition Matrix. 04
(c) Explain need for reshaping of root locus plot. 07
Q.5 (a) Explain Cascade decomposition method. 03
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(b) Explain Pell’s Method in Phase Plane Analysis. 04
(c) What are the singular points? Explain different singular points adopted in non 07 linear control system.
OR
Q.5 (a) Give comparison between transfer function based control design and state 03 variable based control design.
(b) Explain Lienard’s Method in Phase Plane Analysis. 04
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(c) Prove that the necessary and sufficient condition for arbitrary pole placement is 07 that the system is completely state controllable.
This download link is referred from the post: GTU BE 2019 Summer Question Papers || Gujarat Technological University
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