The University of Southampton
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Electronics and Computer Science➞Undergraduate

ELEC6240 Digital Control System Design (MSc)

Module Overview

 To introduce the student to the fundamentals of control theory as applied to digital controllers or sampled data control systems in general. To familiarise the student with the use of the MATLAB Control Toolbox.

This module will be taught together with ELEC3206: Digital Control System. This module will have higher requirements on the desired learning outcomes which will be assessed by a different set of coursework.

 

Aims & Objectives

Aims

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

  • z transform analysis of sampled data feedback loops
  • stability theorems and root locus techniques
  • A suite of techniques for digital controller design
  • Optimal control design method

Subject Specific Intellectual

Having successfully completed this module, you will be able to:

  • Demonstrate awareness of the key implementation issues in digital control systems design

Syllabus

  • Introduction
  • Basics of z transform theory
    • inverse z transform
    • convolution
    • recursion relation
    • realisability
  • Sampling and reconstruction of signals
    • zero order hold/D->A conversion
    • Shannon's sampling theorem; aliasing and folding
    • choice of the sampling period in sampled-data control systems
    • pulse transfer function and analysis of control systems
    • mapping of poles and zeroes
  • Case study: PID digital control
  • Continuous-time state-space systems and their discretization
    • controllability and observability under discretization
    • intersample behaviour
  • Realization theory
    • canonical forms
    • minimality
    • internal- and BIBO-stability, and relation between the two
  • Controller design via pole placement
    • continuous-time-based design techniques
    • deadbeat control
  • Case study: root-locus based digital control design
  • Observers and their use in state-feedback loops
    • Observer-based controllers
    • the separation principle
  • Optimal control design
    • Finite horizon LQR
    • Inifte Horzion LQR

Learning & Teaching

Learning & teaching methods

ActivityDescriptionHours
Lecture36
Tutorial12

Assessment

Assessment methods

MethodHoursPercentage contribution
1 coursework on evaluation of specified research papers-20%
Exam2 hours80%

Referral Method: By examination

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