## BI2CS16-Control Systems

Module Provider: School of Biological Sciences
Number of credits: 10 [5 ECTS credits]
Level:5
Terms in which taught: Autumn term module
Pre-requisites: SE1CA11 Computer Applications SE1FA15 Fundamentals and Applications of Computing or
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Module version for: 2017/8

Module Convenor: Prof Ying Zheng

Summary module description:

Aims:
The module aims to introduce the theory, modelling and design of control systems using the time and frequency domains, as well as s-plane methods.

Assessable learning outcomes:
By the end of the module the students will able to analyse, model and design control systems using the time and frequency domains, as well as s-plane methods, including the use of MATLAB for such purposes.

EA2 topics: Control Systems Design and Analysis

Outline content:
Fundamentals of control systems (10): First and second order linear systems. Concepts of system gain, time constant, damping ratio and undamped natural frequency. Use of the Laplace transform methods to analyse linear systems. Order of systems, poles and zeros. Introduction to the s-plane. Stability and Routh-Hurwitz criterion. Root locus diagrams. Procedures for sketching root loci. Design of systems using s-plane methods to meet closed-loop specifications. Introduction to three term controllers (PID). Design of PID controllers by pole placement methods given performance specifications.

Frequency Design (10): Transfer functions for electrical networks and mechanical systems. Introduction to frequency response. Bode plots. Frequency response using Matlab. Nyquist criterion. Stability analysis via Nyquist criterion, gain and phase margin. controller design via frequency response.

Modelling in MATLAB (3 labs): Introduction to MATLAB facilities for modelling, block diagram representation and manipulation of simple systems. Implementation of PID control in Matlab. Use MATLAB for elementary feedback control design in the frequency domain.

Brief description of teaching and learning methods:
The module comprises 2 lectures per week, associated laboratory practicals and assignment, and some revision tutorials. Laboratory practicals are used to reinforce the relevant lectures.

Contact hours:
 Autumn Spring Summer Lectures 20 Tutorials 2 Practicals classes and workshops 9 Guided independent study 53 16 Total hours by term 82.00 18.00 Total hours for module 100.00

Summative Assessment Methods:
 Method Percentage Written exam 70 Set exercise 30

Other information on summative assessment:

Formative assessment methods:

Penalties for late submission:

Penalties for late submission on this module are in accordance with the University policy.
The following penalties will be applied to coursework which is submitted after the deadline for submission:
• where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark;
• where the piece of work is submitted more than one calendar week after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.
• where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Length of examination:
One 2-hour examination paper in May/June.

Requirements for a pass:
40%

Reassessment arrangements:
Examination only.
One 2-hour examination paper in August/September.