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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VII (OLD) EXAMINATION — SUMMER 2019
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Subject Code: 171701 Date: 18/05/2019
Subject Name:Control System Design
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Time: 02:30 PM TO 05:00 PM Total Marks: 70Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Discuss the Optimal control systems in detail with necessary equations. Brief about the procedure to find out feedback gain for the systems using it. [07]
(b) List the steps to design Robust PID controlled systems. [07]
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Q.2 (a) Explain the Pseudo Quantitative Feedback Theory, with suitable example [07]
(b) What is dead beat response? Give the design procedure for obtaining dead beat response. [07]
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OR
(b) Explain the duality principle of controllability and observability, with suitable example [07]
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Q.3 (a) State the condition for observability. Discuss the state observer design with necessary equations and block diagram. [07]
(b) With example discuss design of digital controllers using root locus in the z-plane. [07]
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OR
Q.3 (a) Define state variable and state model. If a system has one input, one output and three states, find out the dimensions of the various matrices of the state model. [07]
(b) Explain the compensator design with integrated full-state feedback and observer. [07]
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Q.4 (a) State an Ackermann's formula. Show the Computation of State Controllability and Observability using it. What is its limitation? [07]
(b) Discuss about Internal model design for step input tracking with mathematical arguments. [07]
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OR
Q.4 (a) Explain the implementation of digital ( PID, PD and PI) controllers with necessary steps. [07]
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(b) What do you mean by Eigen value and Eigen Vector? What is the role of its in State Variable -Analysis? [07]Q.5 (a) Discuss the Lead compensation technique based on frequency response (bode plot). List the necessary steps and explain with suitable example. [07]
(b) Discuss importance of robust control system and sensitivity of control system. [07]
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OR
Q.5 (a) State the Computer ( MatLab) commands used for State variable analysis with syntax/code and its related outputs. Mention appropriate comments also. [07]
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(b) Explain the control of uncertain parameter in robust control system. [07]
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