Download GTU BE/B.Tech 2019 Winter 6th Sem New 2161707 Control System Design Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 6th Sem New 2161707 Control System Design Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? VI (New) EXAMINATION ? WINTER 2019
Subject Code: 2161707 Date: 04/12/2019

Subject Name: Control System Design

Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

MARKS

Q.1 (a) State the Properties of the State Transition matrix. 03
(b) Explain a Dead beat response with necessary sketch. 04
(c) Define Compensator. Explain the various types of Compensation with
necessary diagram.

07
Q.2 (a) Explain a Phase Lead compensator using RC Network. 03
(b) Give the Procedure for Designing a Phase Lag Compensator in Time
Domain.
04
(c) Design a suitable compensator for the system having the open loop
transfer function G(S) = K / S(S+2) to meet the following specifications:
(i) Damping ratio ?=0.707 (ii) Settling Time
ts ? 5 Sec (iii) Kv ? 4
07
OR
(c) Explain the System with a Prefilter with example. 07
Q.3 (a) Explain a Phase Lag compensator using RC Network. 03
(b) Design a State space model of the RLC Network. 04
(c) Explain the Controllability and Observability with suitable example. 07
OR
Q.3 (a) Give the importance of Internal model Design. 03
(b) Give the Procedure for designing a Phase Lead Compensator in
Frequency Domain.
04
(c) Explain Lyapunov stability for linear system. 07
Q.4 (a) Give the S ? Plane Representation of Lag, Lead and Lead-Lag
Compensator.
03
(b) State and explain Observable Canonical form. 04
(c) A Unity feedback system has OLTS G(S) = K/ S(1+2S). Design a
suitable compensator so that the Phase margin is ? 40. and steady state
error for the ramp input is ess ? 0.2. Also to comment on stability.
07

OR
Q.4 (a) Define System Sensitivity. 03
(b) Explain the optimal control system with an example. 04
(c) Explain the Full state feedback control with observer design. 07
Q.5 (a) How to analyze the Robustness of any System? 03
(b) Define the Following: (1)Canonical variable and Digonalization (2)
Eigen value (3)Caylay Hamilton theorem (4) Ackerman?s formula
04
(c) State algebraic Riccatti equation and write short note on LQR design. 07
OR

Q.5 (a) Discuss the bode diagram with Analytical method. 03
(b) Explain the System with uncertain parameter. 04
(c) Explain robust PID Controller. 07

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