2016/17 Undergraduate Module Catalogue

ELEC2540 Control Systems

10 creditsClass Size: 100

Module manager: Dr Zoran Ikonic
Email: z.ikonic@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2016/17

Module replaces

ELEC2520

This module is not approved as a discovery module

Module summary

In order to pass this module, students must obtain a mark of at least 30% in the final examination, as well as obtaining an overall mark of at least 40% for the module.

Objectives

The aim of this module is to gain understanding of the theory and practice of control systems, including linear systems analysis using Laplace transforms and transfer functions, the transient response of feedback systems, and stability criteria.

Learning outcomes
On completion of this module, students should be able to:
- draw block diagrams of simple feedback systems to represent an engineering problem, derive closed-loop transfer functions and sketch polar and Bode plots of systems which include cascaded terms;
- analyse the transfer functions of simple systems, obtain impulse and step responses and combine systems in series and in parallel;
- obtain steady-state responses by applying the final-value theorem and frequency response methods;
- explain the significance of the system's characteristic equation and how the poles of a system affect its transient response;
- explain the relationship between unity and non-unity feedback systems, determine the class of a feedback system and relate it to the system's steady-state error for standard reference inputs;
- show a knowledge and understanding of stability in practical and mathematical terms, and how the stability of a feedback system can be inferred from the roots of its characteristic polynomial, from Bode plots, and by the use of Nyquist's criterion.

Syllabus

- Linear Systems: Laplace transforms and derivation of transfer functions. Standard form of a first-order system. Cascaded and summed transfer functions. Characteristic equation and significance of poles. Standard form of second-order system and its step response. Introduction to Feedback: Effects of feedback. Proportional, integral and differential control.
- System Classification: Relationship between unity and non-unity feedback systems. System type (class) and steady-state errors.
- Polar Frequency Response: Polar form of complex quantities. Frequency-response from transfer function; cascaded terms. Bode plots.
- Stability: Concept of stability via roots of characteristic equation, from Bode plots, and from Nyquist's criterion.

Teaching methods

Delivery type	Number	Length hours	Student hours
Example Class	10	1.00	10.00
Lecture	20	1.00	20.00
Practical	2	3.00	6.00
Private study hours			64.00
Total Contact hours			36.00
Total hours (100hr per 10 credits)			100.00

Private study

Reading lecture notes
- Practising examples and past exam questions, and revising for the final exajm.
- Preparation for laboratory work, analysis of results and composition of laboratory report.

Opportunities for Formative Feedback

- Progress in examples classes
- Laboratory work.

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
Report	Practical Report	20.00
Total percentage (Assessment Coursework)		20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc)	2 hr 00 mins	80.00
Total percentage (Assessment Exams)		80.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

There is no reading list for this module

Last updated: 21/02/2017

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