Mathematical Modelling and Control Engineering - 2021 entry

You will be exposed to standard methods of systems analysis using differential equation modelling and transform methods, in both continuous and discrete variable form. Topics will include: system synthesis and design, “s plane” pole zero system specification, transfer function and frequency response functions, feedback and stability. This will cover general linear constant coefficient systems with first and second order systems as illustrations. Practical design method studied will be: block diagram synthesis, pole-zero distribution/frequency response design and time-step specification for discrete systems.   
 

Prerequisite module: ECM1102, ECM1107 or equivalent

The aims of the module are for students to:

Understand why a systems approach is useful for the engineering profession

Gain skills in building differential equation and block diagram descriptions of real physicals entities

Appreciate the advantages of and gain skills in Laplace and Z transform theory

Gain skills in block diagram synthesis of transfer functions   

Understand key ideas and concepts: dynamics and feedback

Appreciate the relevant mathematical theory

Be able to analyse existing systems and realise simple designs from dynamical specifications

- generic modelling of engineering systems as networks;

- electromechanical, thermal and fluid systems examples; 

- SISO and MIMO systems;

- system block diagrams;

- Laplace transforms;

- transfer functions;

- block diagram algebra, systems; 

- open and closed-loop systems; 

- block diagram manipulation and transfer function synthesis;

- “S Plane pole-zero descriptions”; 

- stability (pole and bounded input, bounded output);

- explicit time responses;

- impulse response;

- frequency response;

- discretisation;

- recurrence relations;

- sampling theorem;

- time step selection;

- “Z Transforms”; 

- discrete frequency response.

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.

If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

Basic reading:

ELE: http://vle.exeter.ac.uk

Web based and Electronic Resources:

Other Resources:

Reading list for this module: