Download PTU B.Tech 2020 March EEE 7th and 8th Sem Non Linear And Digital Control System Question Paper

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Roll No. LTI [ ] Total No. of Pages : 02
Total No. of Questions : 09

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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1. Write briefly :
   1. Discuss the advantages of state space approach over transfer function approach.
   2. Explain the term Observability.
   3. Write down the condition for a system to be Controllable.
   4. Discuss any two properties of nonlinear systems.
   5. What are limit cycles?

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   6. Draw the characteristics of an ideal and an actual relay.
   7. Explain dead zone with a suitable example.
   8. What do you mean by a positive definite function?
   9. How can you convert an analog signal into a digital signal?
   10. What are the limitations of Z transform?

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SECTION-B

2. Draw the state diagram and obtain the state equation for the following transfer function :
   (4s+2) / s(s+3)(s+4)
3. Draw the phase portrait of the following system :
   

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   ?¨+6?+0.5?=0
4. Find out the describing function for deadzone nonlinearity.
5. An autonomous system is expressed as follows :
   X?=X1
   X?2 =X2 — m1X1
   

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   Study the stability of the system using Lyapunov’s method and considering the Lyapunov’s function as :
   W =x1² +x2²
6. Write a short note on Jury’s stability test.

SECTION-C

7. A closed loop control system is shown below :
   

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   Sampler with T=1s
   r (t) --> e(t) --> 701 / s --> o (t)
   Fig.1
   Determine the output in discrete form when a unit step is applied to the input.
8. 1. How can you find out Lyapunov’s function by with Variable gradient method?

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   2. Write a short note on discrete form of PID controller.
9. Write short notes on :
   1. Sampled data systems
   2. Phase plane analysis

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NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.