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

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GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER- VIII (New) EXAMINATION - WINTER 2019

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Subject Code: 2180913

Subject Name: Advanced Control Systems

Date: 21/11/2019

Time: 02:30 PM TO 05:00 PM

Total Marks: 70

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Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

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1. (a) What are the advantages of state space modeling technique over the transfer function modeling technique in control system analysis? (03)
2. (b) With neat block diagram representations discuss cascade decomposition (04)
3. (c) Determine the necessary and sufficient condition for a system to be completely state controllable using Kalman’s Controllability test. (07)

Q.2

1. (a) Define the terms State Variable and State Transition Matrix. (03)

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2. (b) Explain State Space Representation of Nth Order Linear Differential Equation (04)
3. (c) Explain why do we need state variable approach to control system analysis? (07)

OR

1. (a) Explain Cayley Hamilton Theorem and discuss how it can be used to find the state transition matrix. (07)
2. (b) Write and prove the properties of State Transition Matrix (STM). (03)

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3. (c) Explain Pell’s Method in Phase Plane Analysis (04)

Q.3

1. (a) Discuss the concept of Kalman’s controllability and observability test in detail. (07)
2. (b) When is a system said to be completely controllable? (03)
3. (c) Explain Lienard’s Method in Phase Plane/Analysis (04)

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OR

1. (a) Write a short note on advantages and limitations of state variable approach. (07)
2. (b) Explain Pell’s Method in Phase Plane Analysis (03)
3. (c) Explain Cayley Hamilton Theorem and discuss how it can be used to find the state transition matrix. (04)

Q.4

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1. (a) Explain state variable approach to control system analysis is superior to classical approach? (07)
2. (b) Explain the design procedure of a full state observer. (03)
3. (c) Discuss basic feature of following non linearities 1).non linear friction 2).on off controller (04)

OR

1. (a) Prove that the necessary and sufficient condition for arbitrary pole placement is that the system is completely state controllable. (07)

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2. (b) Explain the construction of a phase trajectories by delta method (03)
3. (c) Explain Liapunov’s second method and his stability theorem. (04)

Q.5

1. (a) Explain sampled data control system using suitable block diagram (07)
2. (b) Explain positive definite, positive semi definite and indefinite function (03)

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3. (c) Discuss necessary and sufficient condition for state observation (04)

OR

1. (a) What are the singular points? Explain different singular points adopted in non linear control system? (07)

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