Download GTU BE/B.Tech 2019 Summer 8th Sem New 2181705 Advance Control Theory Question Paper

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Subject Code: 2181705

GUJARAT TECHNOLOGICAL UNIVERSITY

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BE - SEMESTER-VIII(NEW) EXAMINATION - SUMMER 2019

Subject Name: Advance Control Theory

Date: 17/05/2019

Time: 10:30 AM TO 01:00 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. State effect of sample time on stability of LTI system. MARKS 03
2. Comment on stability of nonlinear system and limit cycles. MARKS 04
3. Derive the transfer function of Zero order hold. MARKS 07

Q.2

1. Explain the block diagram of the digital control system. MARKS 03

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2. Explain phase plane, phase trajectory, phase portrait. MARKS 04
3. Explain Singular points in detail. MARKS 07

OR

1. Describe the digital implementation of PID controller. MARKS 07

Q.3

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1. State sampling theorem. MARKS 03
2. Obtain the z-transform of Unit -Step function. MARKS 04
3. Consider the system described by:
   y(k)-0.6y(k-1)-0.81y(k-2)+0.67y(k-3)-0.12y(k-4)=x(k)
   Where x(k) is the input and y(k) is the output of the system. Determine the stability of the system. MARKS 07

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OR

1. List the methods of inverse Z-transform. MARKS 03
2. Find the z-domain transfer function of the following s domain transfer functions. MARKS 04
3. For the sampled-data control system shown in figure. Find the output c(k) for r(t)=unit step. T=1sec MARKS 07
   

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Q.4

1. Derive the relationship between z and s-domain. Also explain the mapping of s-domain in to z-domain. MARKS 03
2. Explain the describing function analysis? MARKS 04
3. Obtain the describing function of relay with hysteresis type of non-linearity. Comment on the memory type non-linearity and memory less non-linearity. MARKS 07

OR

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1. Give the application of fuzzy logic in control system. MARKS 03
2. What is RGA analysis? MARKS 04
3. Design the state feedback controller for the system such that the systems will have closed loop poles are z=0.5+j0.5 MARKS 07

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Q.5

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1. Examine the stability of the following characteristic equation: P(z)=z²-1.1z+0.1z-0²=0 MARKS 03
2. What are fuzzy membership function and its types? MARKS 04
3. Explain fuzzification and defuzzification briefly. Also write the features of membership function. MARKS 07

OR

1. What is two degrees of freedom control? MARKS 03

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2. Explain the graphical method of drawing the phase plane with suitable example. MARKS 04
3. Explain multivariable systems with example. What is interacting and non-interacting systems? MARKS 07

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