ELEC3206 Digital Control System Design

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.

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

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

Introduction to optimal control
Finite horizon LQR
Inifte Horzion LQR

Learning & Teaching

Learning & teaching methods

Activity	Description	Hours
Lecture		36
Tutorial		12

Assessment

Assessment methods

Method	Hours	Percentage contribution
Exam	2 hours	100%

Referral Method: By examination

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