Module Descriptors
APPLIED ENGINEERING MATHEMATICS AND CONTROL SYSTEMS
ELEC53128
Key Facts
Digital, Technology, Innovation and Business
Level 5
30 credits
Contact
Leader: Tamoor Shafique
Hours of Study
Scheduled Learning and Teaching Activities: 60
Independent Study Hours: 240
Total Learning Hours: 300
Assessment
  • REPORT - CONTROL SYSTEMS - 2,000 WORDS weighted at 50%
  • EXAMINATION - 1.5 HOURS weighted at 50%
Module Details
ADDITIONAL ASSESSMENT DETAILS
Report – Control Systems
A 2000-word report based on the design and analysis of control systems, weighted at 50% meeting Learning Outcomes¿3¿and¿4. Assessing AHEP¿4¿Outcomes: C4, C5, C7, C17.

Examination
A 1.5 hrs exam on the application of mathematical techniques and control theory to solve a range of problems, weighted at 50% meeting Learning Outcomes 1 and 2. Assessing AHEP¿4¿Outcomes: C1, C2, C3, C5.

Formative assessment will include problems requiring the use of mathematical techniques and control theory to obtain solutions.
INDICATIVE CONTENT
This module will cover the following topics:
- Complex Analysis (complex functions, contour integration, frequency response)
- Optimisation Theory (linear programming, nonlinear optimisation, convex analysis)
- Introduction, history, and applications of control systems
- Mathematical models and design principles of control systems
- Transformation techniques for analysis of common control systems
- Interpretation of block diagrams and signal flow graph models for real systems
- Evaluation of feedback control system performance
- Analysis of transient responses and steady-state characteristics of control systems
- Principles of PID control and tuning techniques
- Examples of practical analogue and digital control systems
- Advanced topics such as adaptive control and machine learning-based control
LEARNING OUTCOMES
1. Apply advanced mathematical techniques to model and analyse a range of engineering systems. (AHEP 4: C1, C2)

Learning Outcome: Application & problem-solving

2. Analyse a range of real-world problems using control theory and generate solutions. (AHEP 4: C2, C3, C5)

Learning Outcome: Application & problem-solving

3. Critically reflect on the design of feedback control systems and resulting system performance, and propose improvements. (AHEP 4: C4, C5, C7)

Learning Outcome: Reflection

4. Communicate effectively to professional audiences about design choices and main outputs related to control systems used for real-world applications. (AHEP 4: C17)

Learning Outcome: Communication
LEARNING STRATEGIES
Whole group lectures will be used to deliver new material and to consolidate previous material. Small-group tutorials, with activities designed to enhance the understanding of the material delivered in the lectures, will be used to apply the skills and knowledge learned. A mixture of classroom based, and practical activities will take place supported by staff.
RESOURCES
- Software tools to simulate and analyse control systems
- Mathematical Software, such as MATLAB or a suitable equivalent
SPECIAL ADMISSIONS REQUIREMENTS
Must be registered on BEng (Hons) Electronic and Information Engineering provision at XUPT, China.
TEXTS
Åström, K.J. and Murray, R. (2021) Feedback Systems: An Introduction for Scientists and Engineers. 2nd edn. Princeton University Press.

Bishop, R.H. and Dorf, R.C. (2021) Modern Control Systems. 14th edn. Upper Saddle River, NJ: Pearson.

Nise, N.S. (2020) Control Systems Engineering. 8th edn. Hoboken, NJ: Wiley.

Stroud, K.A. and Booth, D. (2020) Advanced Engineering Mathematics. London: Red Globe Press.

Stroud, K.A. and Booth, D. (2020) Engineering Mathematics. London: Red Globe Press.
WEB DESCRIPTOR
The Applied Engineering Mathematics and Control Systems module will introduce the principles and applications of control systems, focusing on feedback control and performance evaluation in real-world engineering contexts. Practical skills will be developed using computational methods and simulation exercises to analyse and interpret control systems. The module also equips learners with the mathematical tools and techniques needed to tackle a wide range of engineering problems.