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 Z-Transform [8 hours]
- Fundamentals of Z-transform
- Important properties and theorems of the Z-transform
- Z-transform from the convolution integral
- Inverse Z-transform
- Direct Division
- Partial Fraction
- Inversion Integral
- Z-transform method for solving difference equation
- Analysis of discrete time control system [10 hours]
- S-plane to Z-plane mapping and Vice-versa.
- Stability analysis of closed loop systems in the Z-plane
- 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 “ON-OFF” 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 s-domain transfer function into z-domain
- 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 z-plane
- To learn the application of MATLAB to test the stability of a system in z-domain
- 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.
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