Fees and funding

Fees

Fees for entry in 2027 have not yet been set. For reference, the fees for the academic year beginning September 2026 were as follows:

  • MSc (full-time)
    UK students (per annum): £14,700
    International, including EU, students (per annum): £38,400

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

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International student CAS deposit

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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

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

The University of Manchester is committed to widening participation in master's study, and allocates £300,000 in funding each year. Our Manchester Master's Bursaries are aimed at widening access to master's courses by removing barriers to postgraduate education for students from underrepresented groups.

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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.

Course unit details:
Nonlinear and Adaptive Control Systems

Course unit fact file
Unit code EEEN60252
Credit rating 15
Unit level FHEQ level 7 – master's degree or fourth year of an integrated master's degree
Teaching period(s) Semester 2
Offered by Department of Electrical & Electronic Engineering
Available as a free choice unit? No

Overview

BRIEF DESCRIPTION
  • Characteristics of nonlinear behaviour, linearized models.
  • Phase-plane methods; approximate construction of state trajectories.
  • Describing functions; use in predicting oscillations.
  • Stability theory, Lyapunov functions; methods of construction and use K-Y lemma; circle criteria.
  • Compensation for nonlinearities; feedback linearization.
  • Integrator backstepping and iterative backstepping design.
  • Model reference control and model reference adaptive control of linear systems; adaptive laws and stability analysis.
  • Robust issues in adaptive control, dead-zoon and sigma modifications in adaptive laws.
  • Adaptive control of nonlinear systems and adaptive backstepping

Pre/co-requisites

Unit title Unit code Requirement type Description
Linear Systems Theory EEEN60221 Pre-Requisite Compulsory

Aims

The course unit unit aims to:

  • Enable the stability and performance analysis and design of nonlinear systems and controllers.
  • Enable the use of control schemes which adapt to unknown and/or slowly varying systems

Learning outcomes

On successful completion of the course, a student will be able to:

ILO 1: Demonstrate knowledge of the principal structures used for adaptive control systems.

ILO 2: Design adaptive controllers, for linear and nonlinear systems.

ILO 3: Use backstepping design for control of nonlinear systems.

ILO 4: Apply the describing function method to nonlinear feedback systems.

ILO 5: Use the relevant simulation tools, and apply parameter estimation methods, in other areas.

ILO 6: Obtain locally linearized models for nonlinear dynamic systems.

ILO 7: Demonstrate knowledge of the effects of non-linearities on the operation of control systems.

ILO 8: Show an understanding of methods for reducing nonlinear effects in control systems.

ILO 9: Implement adaptive control schemes for engineering systems.

ILO 10: Simulate nonlinear control systems using Matlab and Simulink.

Assessment methods

Unseen Written Examination

3 hours. Calculators are permitted in this examination. The maximum mark for this examination forms 70% of the total unit assessment. 

Coursework

Coursework 1: The maximum mark for coursework1 forms 15% of the total unit assessment

Coursework2: The maximum mark for coursework2 forms 15% of the total unit assessment

Feedback methods

.

Recommended reading

  • Applied nonlinear control by Slotine, J.-J. E. Prentice Hall, 1991.
  • Nonlinear systems by Khalil, Hassan K. Pearson Prentice-Hall, 2000.
  • Nonlinear systems analysis  by Vidyasagar, M. Society for Industrial and Applied Mathematics (SIAM 3600 Market Street Floor 6 Philadelphia PA 19104), 2002.
  • Nonlinear dynamical systems by Cook, P. A. Prentice Hall, 1994.
  • Nonlinear and adaptive control systems by Ding, Zhengtao. The Institution of Engineering and Technology, 2013.
  • Robust adaptive control by Petros A. Ioannou, Jing Sun . Prentice Hall, 1996. 
  • Stable adaptive systems by  Narendra, Kumpati S. Dover Publications, 2005.
  • Nonlinear and adaptive control design by Krstić, Miroslav. Wiley, 1995.
  • Robot Manipulator Control: Theory and Practice by Frank L. Lewis, Darren M. Dawson, Chaouki T. Abdallah. CRC Press, 2003.
  • Control of Complex Systems by Herrmann, G ; Na, J ; Mahyuddin, M.Nasiruddin. Elsevier Inc, 2016.

Study hours

Scheduled activity hours
Lectures 30
Tutorials 6
Independent study hours
Independent study 114

Teaching staff

Staff member Role
Alexander Lanzon Unit coordinator
Zhenhong Li Unit coordinator

Return to course details

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