Download GTU BE/B.Tech 2019 Summer 6th Sem New 2161007 Digital Control Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 6th Sem New 2161007 Digital Control Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2161007 Date:18/05/2019
Subject Name:Digital Control
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.


Q.1 (a) State sampling theorem and explain sample and hold operation. 03
(b) Define Z transform. Also derive Z transform for f(t) = e
-at
04
(c) Draw and explain basic block diagram of Digital Control System 07

Q.2 (a) Explain the Final value theorem. 03
(b) Explain the Pulse Transfer Function of Closed Loop System. 04
(c) Explain the Pulse Transfer Function of Digital PID Controller. 07
OR
(c) Explain the realization methods for digital controllers. 07

Q.3 (a) Explain Jury stability criterion. 03
(b) Explain bilinear transformations. 04
(c) Explain the Stability Analysis of Closed Loop System in Z-plane 07
OR
Q.3 (a) Explain similarity transformations. 03
(b) List the necessary and sufficient condition for state observation 04
(c) Explain state-space representations of Discrete-Time system. 07

Q.4 (a) Define following terms (1) State (2) State vector (3) State variables 03
(b) Write a short note on concept of controllability. 04
(c) Explain discretization of continuous ? time state space equations. 07
OR
Q.4 (a) Write short note on Lead lag compensators 03
(b) List general rules to construct root locus. 04
(c) Write a brief note on root locus diagram of digital control system. 07

Q.5 (a) Explain stability improvement by state feedback. 03
(b) Discuss necessary and sufficient condition for state Observation. 04
(c) Explain Quadratic Optimal Control Problem. 07
OR
Q.5 (a) Explain the State Equation with necessary figure. 03
(b) Explain the necessary and sufficient conditions for design of state feedback controller
through pole placement.
04
(c) Explain Optimal Regulator System based on a Quadratic Performance Index. 07

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