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State Space & Digital Control - ELE00057H

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  • Department: Electronic Engineering
  • Module co-ordinator: Dr. Andrew Pomfret
  • Credit value: 10 credits
  • Credit level: H
  • Academic year of delivery: 2021-22

Related modules

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations

  • None

Module will run

Occurrence Teaching cycle
A Spring Term 2021-22 to Summer Term 2021-22

Module aims

Subject content aims:

  • To develop an understanding of the importance of the concept of the state of a control system and to provide an introduction to the techniques of state-variable control, including the state representation, the state transition matrix and state-variable feedback
  • To provide insights into the impact of introducing samplers into feedback control systems, including the use of the Z-transform, the purpose of data-holds, the analysis of hybrid feedback systems and the calculation of inverse Z-transforms
  • To introduce the concepts of discrete state-space modelling, with MATLAB examples

Graduate skills aims:

  • To develop skills in the selection and application of appropriate numeric and algebraic techniques

Module learning outcomes

Subject content learning outcomes

After successful completion of this module, students will:

  • Display knowledge and understanding of a range of basic formulae and relationships appropriate to the fields of state-space and digital control
  • Be able to convert between transfer function, time-domain and state-space representations, carry out calculations and manipulations in state-space format, relate the theoretical equations to physical block (simulation) diagrams and design multivariable feedback control systems to given requirements in state-space form
  • Be able to analyse the properties of hybrid control systems, involving a mixture of samplers, data holds and system units, derive and calculate the appropriate discrete transfer function for a given system configuration and calculate Z-transforms and inverse Z-transforms in the context of multi-loop and multivariable feedback control systems
  • Appreciate how the theoretical descriptions relate to the construction of discrete system models within MATLAB

Graduate skills learning outcomes

After successful completion of this module, students will:

  • Be able to explain and evaluate advanced technical concepts concisely and accurately
  • Be able to select, adapt and apply a range of mathematical techniques to solve advanced problems
  • Have developed skills in problem solving, critical analysis and applied mathematics


Task Length % of module mark
Online Exam
State Space & Digital Control
N/A 100

Special assessment rules



Task Length % of module mark
Online Exam
State Space & Digital Control
N/A 100

Module feedback

'Feedback’ at a university level can be understood as any part of the learning process which is designed to guide your progress through your degree programme.  We aim to help you reflect on your own learning and help you feel more clear about your progress through clarifying what is expected of you in both formative and summative assessments.

A comprehensive guide to feedback and to forms of feedback is available in the Guide to Assessment Standards, Marking and Feedback.  This can be found at

The Department of Electronic Engineering aims to provide some form of feedback on all formative and summative assessments that are carried out during the degree programme.  In general, feedback on any written work/assignments undertaken will be sufficient so as to indicate the nature of the changes needed in order to improve the work.  Students are provided with their examination results within 20 working days of the end of any given examination period.  The Department will also endeavour to return all coursework feedback within 20 working days of the submission deadline.  The Department would normally expect to adhere to the times given, however, it is possible that exceptional circumstances may delay feedback.  The Department will endeavour to keep such delays to a minimum.  Please note that any marks released are subject to ratification by the Board of Examiners and Senate.  Meetings at the start/end of each term provide you with an opportunity to discuss and reflect with your supervisor on your overall performance to date. 

Indicative reading

Notes and readings will be provided in class.

The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.