Master of Engineering (MEng)

MEng Mechatronic Engineering

Explore the world of robotics and gain the UK's top engineering undergraduate award, securing the base for chartered status.

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

Full entry requirementsHow to apply

Meet us

Discover if Manchester is right for you with an online or in-person meeting.

Learn more

Discover more about our new Home of Engineering

Discover

Download our course brochure

Download

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:
Linear Systems Theory

Course unit fact file
Unit code EEEN40221
Credit rating 15
Unit level Level 4
Teaching period(s) Semester 1
Available as a free choice unit? No

Overview

The unit aims to introduce the essential linear algebra concepts used in the development of the mathematical descriptions of linear system theory; to establish the mathematical foundations of linear dynamical systems used in control system theory; to give students a sound understanding of the state-space representation of linear dynamical systems and to formulate the stability of closed-loop systems.

Pre/co-requisites

Unit title Unit code Requirement type Description
Control Systems II EEEN30231 Pre-Requisite Compulsory
To select unit EEEN40221 you must have taken EEEN30231 Control Systems II in your 3rd year.

Aims

The unit aims to introduce the essential linear algebra concepts used in the development of the mathematical descriptions of linear system theory; to establish the mathematical foundations of linear dynamical systems used in control system theory; to give students a sound understanding of the state-space representation of linear dynamical systems and to formulate the stability of closed-loop systems.

Learning outcomes

ILO1 Analyse the preoerties of a matrix such as eigenvalues, norms, and singular values in the context of dynamical systems. [Developed and Assessed].

ILO2 Compute the invariate subspaces of a matrix and other significant properties.

ILO3 Describe dynamical systems in mathematical terms using state-space representations.

ILO4 Analyse dynamical system properties of state-space models.

ILO5 Develop feedback controllers for state-space models using state-feedback and observer techniques.

ILO6 Analyse feedback dynamical systems and their properties.
Assessment Methods
 

Syllabus

Part 1 - Linear Algebra

Linear subspaces
Eigenvalues and Eigenvectors
Matrix inversion formulas
Invariate subspaces
Vector norms and matrix norms
Singular value decomposition
Generalised inverses
Semidefinite matrices

Part 2 - Linear Dynamical Systems

Description of linear dynamical systems
Solutions of linear dynamical systems and their stability
Controllability and observability
Observers and observer-based controllers
Operation on systems
State-space realisations for transfer functions
Hidden modes and pole-zero cancellation

Part 3 - Feedback System

Feedback structure
Well-posedness of feedback system
Closed-loop stability

Teaching and learning methods

Lectures, tutorials, practical/ laboratory work and private study.

Assessment methods

Method Weight
Written exam 80%
Report 20%

Feedback methods

Examination - four questions, answer all questions. Feedback is provided after the examination board.

Laboratories - Quiz and Report. Feedback is provided two weeks after report submission.

Recommended reading

“Robust and Optimal Control” by Zhou, Doyle, and Glover.

“Linear Systems Theory” by Joao P. Hespanha

“Feedback control of dynamic systems” by Franklin and Powell, Prentice-Hall.

“Modern control systems” by Dorf and Bishop, Prentice-Hall.

Study hours

Scheduled activity hours
Lectures 30
Practical classes & workshops 3
Tutorials 6
Independent study hours
Independent study 111

Teaching staff

Staff member Role
Joaquin Carrasco Gomez Unit coordinator

Return to course details