Master of Engineering (MEng)

MEng Mechatronic Engineering

*This course is now closed for applications for 2025 entry.

  • Duration: 4 years
  • Year of entry: 2025
  • UCAS course code: HHH6 / Institution code: M20
  • Key features:
  • Scholarships available
  • Accredited course

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Fees and funding

Fees

Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £34,000 per annum. For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships and bursaries please visit our undergraduate student finance pages and our Department funding pages .

Course unit details:
Robust Control and Convex Optimisation

Course unit fact file
Unit code EEEN40262
Credit rating 15
Unit level Level 4
Teaching period(s) Semester 2
Available as a free choice unit? No

Overview

Optimal Control

Quadratic Lyapunov functions for linear systems
LQR (optimal state feedback) control
Robustness of LQR control
Kalman filter (optimal observers)
LQG control (combining LQR state feedback and optimal observer)
Loop transfer recovery
Adding integral action
H2 norms and H2 optimal control

Robust Control

Underpinning concepts:

Singular value decomposition, the H-infinity norm and the H-infinity function space
Well-posedness and internal stability of feedback interconnections
Small-gain theorem

Uncertainty representations and robust stability analysis:

Additive, multiplicative and inverse multiplicative uncertainty representations
Linear Fractional Transformations (LFT) and LFT uncertainty representation
Robust stability tests

Robust controller synthesis and robust control design methodology:

Riccati based H-infinity control synthesis
H-infinity loopshaping control design methodology

Pre/co-requisites

Unit title Unit code Requirement type Description
EEEN64401 Pre-Requisite Compulsory
State-Space and Multivariable Control EEEN60109 Pre-Requisite Compulsory
Linear Systems Theory EEEN40221 Co-Requisite Compulsory
Students taking EEEN40262 in semester 2 must study EEEN40221 Linear Systems Theory in semester 1.

Aims

Introduce students to the fundamentals of LQG control.

Introduce students to the fundamentals of robustness analysis, robust control law synthesis and robust control design.

Learning outcomes

ILO1 Define optimal behaviour for control systems.

ILO2 Design of control systems based on optimal performance criteria.

ILO3 Apply optimal control methods to systems from a variety of technological areas.

ILO4 Design optimal estimators and use Kalman filters in fields outside control engineering.

ILO5 Define optimal estimation of a stochastic system.

ILO6 Analyse the robustness of a feedback control system.

ILO7 Design of control systems based on robustness criteria

ILO8 Define the robustness of a control system using h-infinite norm.

ILO9 Design controllers for systems when accurate mathematical models are unavailable.

Teaching and learning methods

Lectures, tutorials and practical laboratory. 

Assessment methods

Method Weight
Other 20%
Written exam 80%

Feedback methods

.

Study hours

Scheduled activity hours
Lectures 30
Practical classes & workshops 8
Tutorials 3
Independent study hours
Independent study 109

Teaching staff

Staff member Role
Zhengtao Ding Unit coordinator
Guido Herrmann Unit coordinator

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