Systems Modelling and Analysis

This subject has the following teaching availabilities in 2016:

Expected 170 hours

ENGR20004 Engineering Mechanics

PLUS

MAST20029 Engineering Mathematics

OR

MAST20009 Vector Calculus AND MAST20030 Differential Equations

For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry.

It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support: http://services.unimelb.edu.au/disability

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.

Topics include:

• 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.

Having completed this subject it is expected that the student be able to:

1. Apply fundamental mathematical tools to model, analyse and design signals and systems in both time-domain and frequency-domain
2. Recognise the broad applicability of the mathematics of signals and systems theory, particularly within mechanical and mechatronic engineering
3. Identify the parameters of linear time invariant systems using input-output data
4. Use MATLAB to study the behaviour of signals and systems as they arise in a variety of contexts.

• One written 3 hour end of semester closed book examination (60%). ILOs 1 to 3 are addressed in the exam. The examination is a hurdle and must be passed to pass the subject.
• Attendance and participation in three laboratory classes each with written assignment/s, up to 30 pages in total, approximagtely 30 to 35 hours work (30%). ILOs 1 to 4 are addressed in these laboratories.
• One mid semester exam no more than 1 hour in week 7 (10%). ILOs 1 to 3 are addressed in this exam.

This subject is not available as a breadth subject.

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.