MSc Advanced Control and Systems Engineering with Extended Research

For entry in the academic year beginning September 2027, the tuition fees are as follows:

• MSc (full-time)
  UK students (per annum): £15,400 year 1, £7,700 year 2
  International, including EU, students (per annum): £40,300 year 1, £20,200 year 2

The fees quoted above are fully inclusive of tuition, administration and computational costs.

Fees for entry are subject to yearly review. The University reserves the right to increase your tuition fee by up to 7% each year for courses lasting more than one year, including to reflect rising costs associated with delivering our educational and wider student experience. Postgraduate fees information .

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International student CAS deposit

Self-funded international applicants are required to pay a deposit of £2500 towards their tuition fees before a confirmation of acceptance for studies (CAS) is issued. Some applicants will be required to pay a higher deposit. More information on tuition fee deposits .

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We offer a number of postgraduate taught scholarships and awards to outstanding UK and international students each year.

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For more information on master's tuition fees and studying costs, visit the University of Manchester funding for master's courses website to help you plan your finances.

To introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design    

Part 1 H-infinity

1. H-infinity norm

2. Multi-variable systems SV frequency response

3. Multi-Variable Feedback Systems –

a. Closed Loop Transfer functions and internal stability

b. Nominal performance

4. Unstructured uncertainty (i.e. additive, multiplicative, inverse multiplicative, coprime)

5. Linear Fractional Transformations

6. Small-gain theorem

7. Frequency weighting

8. Robust Stability analysis for unstructured uncertainty

9. Robust Performance

10. Coprime Factorization and Principles of Youla Parametrization

11. Solving the H-infinity problem via Coprime Factorization

12. H-infinity control systems design case studies

a. Mixed sensitivity H-infinity design

b. H-infinity loop shaping control

Part 2 Linear Matrix Inequalities (LMIs)

13. Function spaces

14. Linear Matrix Inequalities (LMIs) and convex optimisation

15. Robust H-infinity controller synthesis (from ARE to LMIs)

16. Kalman-Yakubovic-Popov lemma (to convert frequency dependent parahermitian matrix functions to LMIs)

17. Dissipative dynamical systems

18. S-procedure

19. Lur’e Systems

20. Integral Quadratic Constraint Analysis

21. Analysis and design Examples

Part 3 Laboratory and Assignment 30%

Part 3.1 Mixed-sensitivity design for a Quanser system

Part 3.2 Robust Control Design with input / output constraints, e.g. anti-windup

To introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design

ILO 1 Analyse robustness of systems

ILO 2 Understand how robust controllers are synthesised

ILO 3 Design robust controllers

ILO4  Design controllers using robust control theory

ILO 5 Develop skills useful in controlling systems when accurate mathematical models are unavailable 

ILO 6 Apply robust control methods to systems from a variety of technological areas

ILO 7 Learn design methods that can be used in developing controllers for practical systems 

ILO 8 Understand how to use the methods in application

Theoretical knowledge is delivered over lectures and demonstrated over tutorial.

Unseen written examination - 3 hours - weighted at 70%

Coursework - 6 hours weighted at 30%

Examination feedback is provided after the examination results have been released

Coursework feedback provided 3 weeks after submission

Design of feedback control systems. Stefani, Raymond T. Oxford University Press, 2002 2 

Modern Control Engineering Ogata, K ; Brewer, J. W 

Journal of dynamic systems, measurement, and control, 1971  

Multivariable feedback design Maciejowski, J. M. Addison-Wesley, 1989 

Essentials of robust control Zhou, Kemin. Prentice Hall 1998 

Robust and optimal control Zhou, Kemin. Prentice Hall 1996 

Control theory and design : an RH₂ and RH [infinity] viewpoint Colaneri, Patrizio. Academic Press, 1997 

Linear robust control Green, Michael. Prentice Hall 1995