Module overview
This module is taught together with ELEC3205 Control System Design. ELEC6243 has higher requirements on the desired learning outcomes, which will be assessed by a different set of coursework.
Aims and Objectives
Learning Outcomes
Subject Specific Intellectual and Research Skills
Having successfully completed this module you will be able to:
- Analyse linear dynamical systems by state space methods
- Design pole placement state-feedback controller in the state space setting, also with observers in the loop
- Model, analyse, and synthesise nonlinear dynamical systems
- Derive state space representations for nonlinear systems from first principles
- Analyse stability of nonlinear autonomous systems by state space methods
- Design controller using frequency domain methods
- Derive state space representation from a given transfer function representation
- Analyse nonlinear input--output systems by describing functions
- Check controllability/observability by rank test of the controllability/observability matrix
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
- Demonstrate awareness of the current key research issues in control systems design
Syllabus
Frequency Domain Methods for Controller Design
- Lead-lag compensator
- Introduction to loop shaping
State-space representations for linear systems
- Transfer function canonical realisations
- State space representations
Structural properties
- Controllability and state transfer
- Observability and state estimation
Multivariable control by pole placement
- Pole placement by state feedback
- Elements to optimal control
State estimation
- Observer design by pole placement
Joint observer-controller schemes
Nonlinear systems and mathematical modelling
Introduction to the phase plane analysis method
Stability and Lyapunov analysis
- Lyapunov indirect method
- Lyapunov direct method
- Lasalle’s Theorem
Describing functions
Nonlinear control system design
- Design via linearisation
- Design via feedback linearisation
- Introduction to Lyapunov based design method
Learning and Teaching
Type | Hours |
---|---|
Independent Study | 102 |
Teaching | 48 |
Total study time | 150 |
Resources & Reading list
Textbooks
K. Astrom and B. Wittenmark (1997). Computer-controlled systems: theory and design. Prentice Hall.
K. Astrom and R. Murray. Feedback Systems: An Introduction for Scientists and Engineers.
Assessment
Summative
This is how we’ll formally assess what you have learned in this module.
Method | Percentage contribution |
---|---|
Problem Sheets | 10% |
Exam | 80% |
Directed reading | 10% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
Method | Percentage contribution |
---|---|
Exam | 100% |
Repeat
An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.
Method | Percentage contribution |
---|---|
Exam | 100% |
Repeat Information
Repeat type: Internal & External