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This subject will cover the modelling of a range of physical systems across multiple domains as ordinary differential equations, and then introduce the mathematical techniques to analyse their open loop behaviour.
- Development of low order models of a range of electrical, thermal, mechanical, pneumatic and hydraulic dynamic systems
- Different representations of these systems (time and, frequency domains) and transformations between them (Laplace, Fourier and Z-transforms)
- Representations of systems – transfer functions, Bode plots, state space, block diagrams, etc
- Identification of linear time invariant systems (least squares identification)
- Relation to time domain properties of open loop responses – stability, oscillations, etc.
MATLAB will be used throughout the course to complement the presented concepts.
Intended learning outcomes
On completion of this subject, students should be able to:
- Apply fundamental mathematical tools to model, analyse and design signals and systems in both time-domain and frequency-domain
- Recognise the broad applicability of the mathematics of signals and systems theory, particularly within mechanical and mechatronic engineering
- Identify the parameters of linear time invariant systems using input-output data
- Use MATLAB to study the behaviour of signals and systems as they arise in a variety of contexts.
On completion of this subject, students should have developed the following skills:
- The ability to apply knowledge of science and engineering fundamentals
- The ability to undertake problem identification, formulation, and solution
- The ability to utilise a systems approach to complex problems and to design and operational performance
- The ability to undertake problem identification, formulation, and solution.
Last updated: 31 January 2024