Module Provider: |
Mathematics |
Number of credits: |
20 [10 ECTS credits] |
Level: |
H (Honours) |
Terms in which taught: |
Autumn, Spring and Summer |
Module Convenor: |
Dr
S
Langdon |
Pre-requisites: |
MA24B MA24J
|
Co-requisites: |
|
Modules excluded: |
MA24K MA34K MA37M MA3W7 MA3F7 MA3G7
|
Module version for: |
2007/8 |
Aims:
To introduce the concepts of mathematical control theory for linear systems, including controllability, observability and stability.To introduce the ideas and methods in the modelling of particle dynamics |
Assessable learning outcomes:
By the end of the module students are expected to be able to:
understand and be able to apply the basic concepts of mathematical control theory for linear systems;
be able to discuss and solve problems involving controllability, observability, stability and feedback;
formulate and solve appropriate problems in particle dynamics. |
Additional outcomes:
|
Outline content:
The behaviour of a dynamical system is governed, in general, by a driving or forcing function. In practice this function can often be chosen to control the system in order to attain certain objectives. The mathematical theory of control provides techniques for analysing the controllability of a system and for constructing a control function that produces the required response from the system. Simple examples of such systems are thermostatically controlled central heating systems and automobile cruise control mechanisms. In this course the emphasis will be on systems that can be modelled by a set of linear differential equations and on the basic theory of feedback control system design.The dynamics half is devoted to the study of particle dynamics arising from Newton's law of motion. |
Brief description of teaching
and learning methods:
Lectures supported by problem sheets |
Contact hours:
| |
Autumn |
Spring |
Summer |
| Lectures |
20 |
20 |
|
| Tutorials/seminars |
|
|
|
| Practicals |
|
|
|
| Other contact (eg study visits) |
|
|
4 |
| |
|
|
|
| Total hours |
20 |
20 |
4 |
| |
|
|
|
| Number of essays or assignments |
6 |
6 |
0 |
| Other (eg major seminar paper) |
|
|
|
|
Assessment:
Coursework
Relative percentage of coursework : 0
Penalties for late submission
For pieces of work contributing more than 10%: deduction of 10 marks (out of 100) up to one week after the deadline, thereafter a mark of zero.
Examinations
A three hour exam requiring the answers to four questions from six. This contributes 100% of the overall assessment.
Requirements for a pass
A mark of 40% overall.
Reassessment arrangements: re-examination in August/September only |
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