CL7101 Control System Design M.E Question Bank : valliammai.co.in

Name of the College : Valliammai Engineering College
University : Anna University
Department : Electronics & Instrumentation Engineering
Subject Code/Name : CL7101-Control System Design
Degree : M.E C&I
Year : I
Semester : I
Document Type : Question Bank
Website : valliammai.co.in

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Valliammai Control System Design Question Paper

Unit – I

Basics And Root-Locus Design :
Part-A (2 Marks) :
1. What are the time domain & frequency domain specifications needed to design a control system?
2. What is compensation and compensators?
3. When lag/lead/lag-lead compensation is employed?

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4. Discuss the effect of adding a zero to open loop transfer function of a system?
5. What are the advantages of design in root locus?
6. What are the advantages and disadvantages in frequency domain design?
7. What is lag compensation?
8. Write the transfer function of lag compensator and draw its pole-zero plots?
9. What is the relation between fm and ß in lag compensator?
10. What is lead compensator? Give an example.

11. Draw the bode plot of lead compensator.
12. What is the relation between fm and a in lead compensator?
13. When maximum phase lead occurs in the lead compensator? Give the expressions for maximum lead angle and the corresponding frequency.
14. Write the two equations that relates a and fm of lead compensator.
15. Write the transfer function of lag-lead compensator and its pole-zero plots.
16. Write the transfer function of PI-controller.
17. What is PD-controller and what are its effect on system performance?
18. Write the transfer function of PD-controller.
19. What is the PID controller and what are its effect on system performance?
20. Write the transfer function of PID controller.

Unit – II

Frequency Response Based Design :
Part A :
1. What is sampling?
2. Explain the effects of sampling.
3. What is hold circuit? Give the types of hold circuit.
4. Give the expression for ZOH?
5. Define Nyquist stability criterion .
6. Explain about aliasing effect.
7. With a neat block diagram, explain the conversion of continuous time signal to discrete time signal.
8. What are the methods of discretisation?
9. Give the advantages of digital controllers over analog controllers.
10. How to eliminate aliasing effect in sampled signal?
11. Give the steps involved in converting continuous time signal into discrete time signal using impulse invariance transformation.
12. Give the relationship between S-domain and Z-Domain in Bilinear Transformation.
13. Give the magnitude and angle criterion of root locus plot in Z-Domain.
14. Give the stability criteria of a system in S-Plane and Z-Plane.
15. What are the techniques used in sampling?
16. What is the effect of adding a lag compensator to a discrete system?
17. What is the effect of adding a lead compensator to a discrete system?
18. How to reconstruct a sampled signal?
19. Transfer function of a system is Y(z)/F(z)=(Z-0.3)/(Z^2-1.6Z+0.7). How will you choose the poles, so that the system meets the following requirements : Damping ratio > 0.6, Natural frequency >0.4rad/sample?
20. Give the mathematical expression of sampled signal.

Unit – III

Design In Discrete Domain :
Part A :
1. Define optimal control with example
2. Why do we use state variable technique for optimal control analysis?
3. Define tracking problem
4. State minimum time problem
5. Define minimum control effort problem
6. Define state regulator problem
7.State optimal control problem
8. Give the performance index of output regulator problem
9. What are the main theoretical approaches for optimal control?
10. What is the fundamental theorem of calculus of variation?
11. Write down the Euler Lagrange’s equation.
12. What is meant by transversality condition?
13. Give the boundary value relationship used for minimization of functional when
a. When t1 is free and x(t1) is fixed
b. When t1 and x(t1) both are free.
14. What is the necessary and sufficient condition for optimal control “u” to minimize the Hamiltonian function?
15.State Pontryagin’s minimum principle
16. Give the control and state variable inequality constraints
17. Distinguish the terms Hamiltonian function and Hamiltonian matrix
18. State the Hamiltonian-Jacobi equation
19. Write down the expression for optimal control using Riccati equation.
20. Give the performance index of regulator problem and solution of Matrix Riccati equation.