ELEC3206 Digital Control System Design
Module Overview
The topics considered are: z transforms, sampling and reconstruction, discretisation, elements of realisation theory, controller design via pole placement, observers, optimal control design.
Aims and Objectives
Module Aims
To introduce the student to the fundamentals of control theory as applied to digital controllers or sampled data control systems in general.
Learning Outcomes
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 discretisation - Controllability and observability under discretisation - Intersample behaviour Realisation 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 - Infinite Horizon LQR
Learning and Teaching
| Type | Hours |
|---|---|
| Lecture | 36 |
| Completion of assessment task | 2 |
| Preparation for scheduled sessions | 18 |
| Follow-up work | 18 |
| Revision | 10 |
| Tutorial | 12 |
| Wider reading or practice | 54 |
| Total study time | 150 |
Resources & Reading list
Computer requirements.
Ogata. Discrete time control systems.
Assessment
Summative
| Method | Percentage contribution |
|---|---|
| Examination (2 hours) | 100% |
Repeat
| Method | Percentage contribution |
|---|---|
| Examination | 100% |
Referral
| Method | Percentage contribution |
|---|---|
| Examination | 100% |
Repeat Information
Repeat type: Internal & External
Linked modules
Pre-requisite: ELEC2220