Download GTU B.Tech 2020 Winter 7th Sem 2172412 Advanced Control Systems Question Paper

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Subject Code:2172412

GUJARAT TECHNOLOGICAL UNIVERSITY

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Instructions:

1. Attempt any FOUR questions out of EIGHT questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

1. 1. Define z- transformation. (03 MARKS)
   2. State any four properties of z transformation. (04 MARKS)
   3. Convert standard test signals unit step and unit ramp into z domain. (07 MARKS)

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2. 1. What is data hold? (03 MARKS)
   2. State relation between s plane function and Z plane function. (04 MARKS)
   3. Explain digital filters in brief with example. (07 MARKS)

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3. 1. What is state? (03 MARKS)
   2. Define state variable and state model. (04 MARKS)
   3. Represent system having integro-differential equation my + by + ky = u into state space model. Assume u is input and y is output. (07 MARKS)
4. 1. What is eigen values? (03 MARKS)

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   2. How eigen values of a system are related to system poles? (04 MARKS)
   3. Explain controllability and observability. (07 MARKS)
5. 1. State common physical non linearities. (03 MARKS)
   2. What is effect of addition of observer on‘a closed loop system? (04 MARKS)

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   3. Explain pole placement design. (07 MARKS)
6. 1. What is a phase plane? (03 MARKS)
   2. Explain describing function method. (04 MARKS)
   3. Design a type 1 servo system when the plant TF has an integrator for the plant Y(S) _ 1
      

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      U(S) . S(S+1)(5+2)
      j2+v3 and § = <10. Input r is a step function. (07 MARKS)
7. 1. What is Lyapunov direct method? (03 MARKS)
   2. What are the methods of constructing Lyapunov function for Nonlinear systems? (04 MARKS)

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   3. Explain Lyapunov stability criteria. (07 MARKS)
8. 1. TF given by . The desired closed loop poles are at § = —2 + (03 MARKS)
   2. What are the differences between optimal control and conventional control? (04 MARKS)
   3. Explain calculus of variations. Explain LQR problem. (07 MARKS)

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Date:21/01/2021
Total Marks: 56

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