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Mathematical Modelling and Control Engineering (ECM2119)

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Module status - Active
Module description status - Inactive
Credits - 15
College code - EMP
Academic year - 2014/5

Module staff

Professor Michael Belmont (M.R.Belmont@exeter.ac.uk) - Convenor

Duration (weeks) - term 1

Duration (weeks) - term 2

Duration (weeks) - term 3

Number students taking module (anticipated)

Module description

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.

Pre-requisite modules: ECM1102 and ECM1107

Module aims

Pre-requisite modules: ECM1102 and ECM1107

ILO: Module-specific skills

1. demonstrate awareness and skills in the following techniques: time domain evaluation of system output in terms of input (diff., equ., and impulse response), Laplace transforms, use of LTs to obtain time domain solutions;
2. demonstrate, through analytical and simulation work, knowledge and understanding of the power and limitations of feedback systems; techniques
3. derive simple performance specifications for systems and analyse simple examples using analytic tools
4. with limited guidance, use analytic tools to design and analyse high linear order systems

ILO: Discipline-specific skills

5. demonstrate skill in quantitatively analysing engineering problems
6. demonstrate an awareness of the interrelationship between design and analysis
7. demonstrate an understanding of the relationship between a real system and a model

ILO: Personal and key skills

8. analyse problems clearly and formally
9. demonstrate an awareness of the many approaches to the same problem and to be able to assess their relative merits
10. express your problem solving intentions clearly and systematically in written form

Syllabus plan

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.

Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching Activities	Guided independent study	Placement / study abroad
57	93	0

Details of learning activities and teaching methods

Category	Hours of study time	Description
Scheduled learning and teaching activities	27	Lectures (27 Term 1)
Scheduled learning and teaching activities	30	Tutorials
Guided independent study	93	Lecture and assessment preparation; private study

Summative assessment (% of credit)

Coursework	Written exams	Practical exams
15	85	0

Details of summative assessment

Form of assessment	% of credit	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Written exam closed book	85	2 hours in January	All	Via problem class and revision sessions
Coursework assessment using exam style questions	15	Two full examination papers to be completed over the Christmas vacation	All	Post course feedback lecture session

Details of re-assessment (where required by referral or deferral)

Original form of assessment	Form of re-assessment	ILOs re-assessed	Timescale for re-assessment
All above	Written exam (100%)	All	August Ref/Def period

Re-assessment notes

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.

Indicative learning resources - Basic reading

Basic reading:

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

Web based and Electronic Resources:

Other Resources:

Modern Control Systems,Dorf, Richard C,11(5th or later),Reading, Mass; Wokingham: Addison-Wesley,2008,629.8312 DOR,978-0132451925
Control Systems Engineering: MATLAB tutorial update to version 6,Nise, Norman S,3rd or later,New York: John Wiley and Sons,2002,629.6312 NIS,0471250910
Modern Control Engineering,Ogata, Katsuhiko,4/e (2nd or later),,1990,629.8 OGA,0130609072
Feedback Control of Dynamic Systems,Franklin G.F., Powell J.D. and Emami-Naeini A.,6th,Pearson,2008,629.83 FRA,978-0135001509
Control Engineering: an Introductory Course,Wilke, J; Johnson, M and Katebi, R,,Basingstoke: Palgrave,2001,629.8 WIL,,

Module has an active ELE page?

Yes

Module ECTS

7.5

NQF level (module)

Available as distance learning?

Origin date

19/11/12

Last revision date

3/12/12

Key words search

System modelling, Laplace transforms, S plane analysis, Sampled data systems, Z transforms