Digital Control Systems (Theory)

Module Information

Module Semester:
5
Module Part:
Theory
Sub-Module Code:
244502
Hours per Week:
2
Workshop Hours per Week:
1
Module ECTS Credits:
5
Available to ERASMUS Students:
No
Module Staff:


Module Study Targets

The students should be able to:

  • use ordinary differential equations and Laplace transformation to model physical systems,
  • obtain dynamic responses of linear systems and determine their stability,
  • construct root-locus and Bode plots, and apply Nyquist criterion in the context of controller design,
  • obtain and manipulate state-space representation of dynamical systems using linear algebra, and
  • become fluent in digital control systems design


Module Acquired Abilities

  • Decision-making
  • Working independently
  • Team work


Module Description

  1. Introduction to feedback and digital feedback control
  2. Digital controllers as difference equations, solution of difference equations
  3. Forced response in digital equations
  4. Laplace transforms, solution of difference equations using z transforms
  5. Block diagram manipulation, finding system response using z transfer functions
  6. Converting continuous elements following zero order holds to digital form, behavior between samples, closed loop difference equation
  7. Predicting closed loop response of digital control systems with digital controllers and continuous plants
  8. Stability of digital control systems
  9. State space models of digital control systems
  10. State transition matrix
  11. Frequency Response Methods

Module Student Evaluation

Final exam (60%)

Written lab exams (40%)


Bibliography

  • Franklin Gene F, Powell J David and Workman Michael L, "Digital Control of Dynamic Systems", 3rd Edition, Ellis-Kagle Press, (ISBN: 978-0-9791226-0-6), 2006
  • Astrom Karl Johan and Wittenmark Bjorn, "Computer-Controlled Systems: Theory and Design", 3rd Edition, Prentice-Hall, (TJ213.A859 1997), 1997
  • Ogata Katsuhiko, "Discrete-Time Control Systems", 2nd Edition, Prentice-Hall, (QA402.G34 1995), 1995
  • Phillips Charles L and Nagle H Troy, "Digital Control System Analysis and Design", 3rd Edition, Prentice-Hall, (TJ223.M53P558 1995), 1995