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

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Roll No. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ ‘ 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. Answer briefly :
   1. What are advantages of state space representation of a control system?
   2. What do you mean by observability of a-control system ?
   3. Mention some of the limitations of describing functions.
   4. What is backlash nonlinearity-?
   5. What are the requirements for a function to be valid Lyapunov function ?

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   6. What is Z-transform of x(n) = {1,0,1}
   7. Define pulse transfer function.
   8. What is aliasing of a signal ?
   9. What do you mean by first order hold ?
   10. For what Routh-Hurwitz criterion is used in discrete time systems ?

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1] M-74388 (52)-1496

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SECTION-B

1. Obtain a general solution for state variable model.

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2. Draw phase portrait for the following system.
   X1 = 2x + x2
   X2 = 2x1 - X1
3. Discuss variable gradient method for construction of Lyapunov function V(X).
4. Discuss method of isoclines.

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5. Discuss Lyapunov direct method for stability analysis.

SECTION-C

1. Derive an expression for describing function for a relay with dead-zone nonlinearity.
2. a) Consider the following circuit. Derive its state space representation.
   
   

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   ® Lg . x1 x2
   
   

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   b) Comment on controllability and observability of the circuit shown in figure above.
3. Using Jury's test, comment upon the stability of a discrete time control system with following characteristic equation.
   P(z) =" —122+0.072+0.32z-0.08=0

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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.

2| M-74388 (52)-1496

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