Digital Control System
Course Objectives:
To present the basic concepts on analysis and design of sampled data control system and to apply these concepts to typical physical processes.
 Introduction to discrete time control system [8 hours]
 Principle features of discrete time control system
 Signal sampling, quantizing and coding
 Data acquisition, conversion and distribution system
 Reconstruction of original signal from sampled signal
 The ZTransform [8 hours]
 Fundamentals of Ztransform
 Important properties and theorems of the Ztransform
 Ztransform from the convolution integral
 Inverse Ztransform
 Direct Division
 Partial Fraction
 Inversion Integral
 Ztransform method for solving difference equation
 Analysis of discrete time control system [10 hours]
 Splane to Zplane mapping and Viceversa.
 Stability analysis of closed loop systems in the Zplane
 Discrete time equivalents of continuous time systems
 Discrete time equivalents of analog controllers
 Transient and steady state response analysis
 Design and compensation of discrete time control system [10 hours]
 Digital filters: structure, implementation, frequency response, applications
 Control system controllers: structure, hardware/software features, responses to control signals, use of root locus and frequency domain concepts
 Phase lead and phase lag compensator design for discrete time system
 PID controller design and selection of parameters for discrete time system
 Discrete time state equations [8 hours]
 State space representation of discrete time systems
 Discretization of the continuous time state space equation
 Pulse transfer function matrix
 Stability assessment from the discretized state space equations
Practical:
 Study of relay type “ONOFF” control system
 To familiarize the student about the feedback control system with an ON/OFF control
 Z  transform using MATLB
 To learn the application of MATLAB to convert the sdomain transfer function into zdomain
 To study the affects in transient response and frequency response of different methods and sampling time used in z Transfer function.
 Stability analysis of closed –loop system in zplane
 To learn the application of MATLAB to test the stability of a system in zdomain
 Simulation study using simulink of MATLAB
 To Familiarize with MATLAB Simulation
 To study simulation of discrete time control system
 Position control system through analog interfacing
 To learn the use of analog interfacing technique to control the position of motor in the DC Motor module
References:
 K. Ogata, “Discrete Time Control Systems”, Prentice Hall, Englewood Cliffs, New Jersey.
 Charles L. Phillips, “Digital Control System: Analysis and Design”, Prentice Hall, Englewood Cliffs, New Jersey.
Evaluation Scheme:
The questions will cover all the chapters in syllabus. The evaluation scheme will be as indicated in the table below.
Chapter 
Hours 
Mark Distribution* 
1 
8 
12 
2 
8 
16 
3 
10 
20 
4 
10 
20 
5 
8 
12 
Total 
44 
80 
*Note: There may be minor deviation in marks distribution.
