GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-VII (NEW) EXAMINATION - WINTER 2020
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Subject Code:2172007 Date:28/01/2021Subject Name:Modern Control Systems
Time:10:30 AM TO 12:30 PM Total Marks: 56
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.
MARKS
Q.1 (a) Using suitable block diagram, explain ON-OFF control systems. 03
(b) Explain PID control in details. 04
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(c) Explain pole placement design using state feedback. 07 Q.2 (a) List any three properties of z-Transform. 03
(b) Explain relationship between z-domain and s-domain 04
(c) List various characteristics of feedback control systems and explain any 07
two of them using block diagram and mathematical equations.
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Q.3 (a) Explain need for reshaping of root locus plot. 03
(b) How locations of closed-loop pole decide the transient response of the 04
system? Explain using suitable examples.
(c) Explain various guidelines for sketching a root locus plot from given 07
transfer function.
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Q.4 (a) Define (i) centroid (ii) asymptotes (iii) dominant pole 03
(b) Explain angle of departure in root locus technique. 04
(c) What is lag compensator? What are the effects of lag compensator? 07
Explain design steps for design of lag compensator using root locus
technique.
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Q.5 (a) Explain phase margin and gain-margin. 03
(b) Give differences between phase lead and phase lag compensation 04
(c) Explain method to draw bode plot from given transfer function. 07
Q.6 (a) With suitable diagrams define (i) Phase crossover frequency (ii) Gain 03
crossover frequency
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(b) Explain Decade and Octave. 04(c) Explain design procedure for cascade lag compensator using bode-plot. 07
Q.7 (a) Define (1) state (2) state variable (3) state vector 03
(b) Explain derivation of transfer function from state model. 04
(c) Obtain state space model for RLC series circuit in which input is Vi and 07
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output voltage across capacitor. Q.8 (a) List the advantages of state space approach of analyzing the control 03
systems.
(b) Explain the term Controllability and Observability. 04
(c) Explain Taylor series expansion for computing the state transition matrix. 07
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