# Engineering

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## ECM2105 - Control Engineering (2019)

MODULE TITLE CREDIT VALUE Control Engineering 15 ECM2105 Christopher Edwards (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 0 11 weeks 0
 Number of Students Taking Module (anticipated) 182
DESCRIPTION - summary of the module content

The advancement of technology during the 20th century put control engineering on the map - and it plays a critical role in everything from simple household washing machines to high performance F16 aircraft.

This module will give you a fundamental understanding of the basic concepts of mathematical modelling and control engineering. It starts by providing the necessary mathematical foundation; including Laplace transform techniques and theorems, for modelling and analysing the dynamics of engineering systems. You will learn about the modelling of engineering systems, including mechanical, electrical and electro-mechanical systems, using differential equations and transfer function analysis. Furthermore, you will analyse the fundamental concept of feedback and its impact on system dynamics and control in detail, making use of a case study involving speed control of a DC motor. Moreover, you will study the Routh Hurwitz stability criterion, and use it in the design of stable engineering systems. Finally, the module introduces you to the fundamentals of proportional-integral-derivative (PID) control, which you will then use to analyse and design control engineering systems.  The lectures are supported by computer laboratories for modeling and simulation of systems using the Control Engineering toolbox in Matlab.

AIMS - intentions of the module

This module introduces you to the basic concepts of dynamics and supporting computational techniques. It also teaches you the concepts of feedback and stability. Finally, it exposes you to standard control concepts and calculations by a detailed analysis of proportional, integral and derivative controls for first and second order systems models.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

This is a constituent module of one or more degree programmes which are accredited by a professional engineering institution under licence from the Engineering Council. The learning outcomes for this module have been mapped to the output standards required for an accredited programme, as listed in the current version of the Engineering Council’s ‘Accreditation of Higher Education Programmes’ document (AHEP-V3).

This module contributes to learning outcomes: SM2p, SM2m, SM3p, SM3m, SM4m, SM5m, EA2p, EA2m, EA3p, EA3m, D3p, D3m, D6p, D6m

A full list of the referenced outcomes is provided online: http://intranet.exeter.ac.uk/emps/subjects/engineering/accreditation/

The AHEP document can be viewed in full on the Engineering Council’s website, at http://www.engc.org.uk/

On successful completion of this module, you should be able to:

Module Specific Skills and Knowledge: SM2p, SM2m, SM3p, SM3m, SM4m, SM5m, D3p, D3m

1 exemplify, through analytical and simulation work, knowledge and understanding of basic concepts required for the analysis and interpretation of systems dynamics;

2 illustrate, through analytical and simulation work, knowledge and understanding of the power and limitations of feedback systems;

3 derive simple performance specifications for closed-loop systems and analyse simple examples using analytical and simulation techniques;

4 with limited guidance, use computational tools to design and analyse control systems.

Discipline Specific Skills and Knowledge: EA2p, EA2m, EA3p, EA3m

5 show improved ability to interpret data in terms of mathematical models;

6 exhibit improved computational skills;

7 reveal improved analytical design skills.

Personal and Key Transferable/ Employment Skills and Knowledge: D6p, D6m

8 demonstrate improved ability to specify and solve problems.

SYLLABUS PLAN - summary of the structure and academic content of the module

- mathematical foundation

- complex variable concepts

- Laplace transform: definition and notation

- properties and theorems of Laplace transform

- inverse Laplace transform and partial fraction expansion

- using Laplace transforms to solve differential equations system dynamics

- mechanical systems

- electrical systems

- electrical and mechanical systems

- linearisation of nonlinear systems transfer functions and block diagrams

- transfer functions of linear systems

- block diagrams

- multiple inputs system response

- response analysis of first-order systems

- second-order systems

- sinusoidal response of the system

- polar (Nyquist) plot

- Bode diagrams feedback control systems

- open and closed-loop control systems

- sensitivity of control systems to parameter variation

- disturbance rejection

- transient response

- case study: speed control of a DC motor

- the stability of linear feedback systems

- three-term PID controller

- control of first-order systems

- proportional (P) control of first-order systems

- integral (I) control of first-order systems

- PI control of first-order systems

- derivative (D) control

- PD control of second-order systems - PID control

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
 Scheduled Learning & Teaching Activities Guided Independent Study Placement / Study Abroad 44 106 0
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
 Category Hours of study time Description Scheduled learning and teaching activities 22 Lectures Scheduled learning and teaching activities 11 Tutorials Scheduled learning and teaching activities 11 Laboratories Guided independent study 106 Private study, assessment and lecture preparation

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Not applicable

SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 30 70
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Written exam – closed book 70 2 hours - Summer Exam Period 1, 2, 3, 5, 7, 8 Provided on request
Coursework – individual assignment 20 12 hours 1, 2, 3, 4, 5, 6, 7, 8 Written feedback and model solutions
Coursework – Matlab worksheet 1 5 2 hours 4,6,7,8 Guidance and feedback during practical + model solution
Coursework – Matlab worksheet 2 5 2 hours 4,6,7,8, Guidance and feedback during practical + model solution

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-reassessment
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.

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

Web based and electronic resources: ELE – http://vle.exeter.ac.uk

Type Author Title Edition Publisher Year ISBN Search
Set Dorf, Richard C Modern Control Systems 11(5th or later) Reading, Mass; Wokingham: Addison-Wesley 2008 978-0132451925 [Library]
Set Franklin G.F., Powell J.D. and Emami-Naeini A. Feedback Control of Dynamic Systems Pearson 2008 978-0135001509 [Library]
Set Nise, Norman S Control Systems Engineering: MATLAB tutorial update to version 6 3rd or later New York: John Wiley and Sons 2002 0471250910 [Library]
Extended Ogata, Katsuhiko Modern Control Engineering 4/e (2nd or later) 2010 0130609072 [Library]
CREDIT VALUE ECTS VALUE 15 7.5
PRE-REQUISITE MODULES None None
NQF LEVEL (FHEQ) AVAILABLE AS DISTANCE LEARNING 2 (NQF level 5) No Tuesday 10 July 2018 Tuesday 10 July 2018
KEY WORDS SEARCH Control engineering; system dynamics; feedback; PID control; mathematical modelling.