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Course Co-ordinated by IIT Guwahati
Coordinators
 
Dr. Indrani Kar
IIT Guwahati

 
Prof. S. Majhi
IIT Guwahati

 

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The core course in electrical engineering introduces the fundamental concepts, principles and application of digital control system analysis and design to the postgraduate students.
The course material are prepared in such a manner so that it will be very useful not only for students of postgraduate program in control systems but also for final year undergraduate students, post-graduate students, teachers and practitioners. 
This course goes deeper into the various aspects of digital control engineering. Each topic is developed in logical progression with up-to-date information.
The topics cover classical control design methods as well as the modern control design techniques. A number of chosen problems are solved to illustrate the concepts clearly. A suite of exercises is also provided in the appendix after each module.

 
 

Module
No.

Sl. No.

Module/ Lecture Topics

No. of (Total) Hours

1

 

 

 

 

Introduction to digital control

04

 

Lecture 1

Introduction

Lecture 2

Discrete time system representation

Lecture 3

Mathematical modeling of sampling process

Lecture 4

Data reconstruction

2

 

 

 

 

 

Modeling discrete-time systems by pulse transfer function

05

Lecture 1

Revisiting Z-transform

Lecture 2

Mapping of s-plane to z-plane

Lecture 3

Pulse transfer function

Lecture 4

Pulse transfer function of closed loop system

Lecture 5

Sampled signal flow graph

3

 

 

 

Stability analysis of discrete time systems

02

Lecture 1

Jury stability test

Lecture 2

Stability analysis using bi-linear transformation

4

 

 

 

Time response of discrete systems

02

Lecture 1

Transient and steady state responses

Lecture 2

Time response parameters of a prototype second order system

 

 

5

 

 

 

 

 

 

 

Design of sampled data control systems

08

Lecture 1

Root locus method

Lecture 2

Controller design using root locus

Lecture 3

Root locus based controller design using MATLAB

Lecture 4

Nyquist stability criteria

Lecture 5

Bode plot

Lecture 6

Lead compensator design using Bode plot

Lecture 7

Lag compensator design using Bode plot

Lecture 8

Lag-lead compensator design in frequency domain

6

 

 

 

 

 

Deadbeat response design

03

Lecture 1

Design of digital control systems with deadbeat response

Lecture 2

Practical issues with deadbeat response design

Lecture 3

Sampled data control systems with deadbeat response

7

 

 

Discrete state space model

04

Lecture 1

Introduction to state variable model

Lecture 2

Various canonical forms

Lecture 3

Characteristic equation, state transition matrix

Lecture 4

Solution to discrete state equation

8

 

 

 

 

Controllability, observability and stability of discrete state space models

03

Lecture 1

Controllability and observability

Lecture 2

Stability

Lecture 3

Lyapunov stability theorem

9

 

 

 

 

State feedback design

04

Lecture 1

Pole placement by state feedback

Lecture 2

Set point tracking controller

Lecture 3

Full order observer

Lecture 4

Reduced order observer

10

 

 

Output feedback design

02

Lecture 1

Output feedback design: Theory

Lecture 2

Output feedback design: Examples

11

 

 

 

Introduction to optimal control

03

Lecture 1

Basics of optimal control

Lecture 2

Performance indices

Lecture 3

Linear Quadratic Regulator (LQR) design

  1. Control Systems Engineering - I.


  1. B. C. Kuo, Digital Control Systems, Oxford University Press, 2/e, Indian Edition, 2007.
  2. K. Ogata, Discrete Time Control Systems, Prentice Hall, 2/e, 1995.
  3. M. Gopal, Digital Control and State Variable Methods, Tata Mcgraw Hill, 2/e, 2003.
  4. G. F. Franklin, J. D. Powell and M. L. Workman, Digital Control of Dynamic Systems,
  5. Addison Wesley, 1998, Pearson Education, Asia, 3/e, 2000. K. J. Astroms and B. Wittenmark, Computer Controlled Systems - Theory and Design, Prentice Hall, 3/e, 1997.



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