Dynamical Systems and Control - 2023 entry
MODULE TITLE | Dynamical Systems and Control | CREDIT VALUE | 15 |
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MODULE CODE | ECM3907 | MODULE CONVENER | Dr Tim Hughes (Coordinator) |
DURATION: TERM | 1 | 2 | 3 |
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DURATION: WEEKS | 11 | 0 | 0 |
Number of Students Taking Module (anticipated) | 14 |
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The intention of the module is to provide an introduction to several tools and techniques in Dynamical Systems and Control; an appreciation and understanding of the underlying mathematics; hands-on experience with practical control system design using state of the art software; and an awareness of the relevance and importance of control to a diverse range of disciplines.
- Dynamical systems preliminaries: differential equations and continuous time dynamical systems; difference equations and discrete time dynamical systems; state space; linear systems; linearization of nonlinear systems; numerical and analytical solution of differential and difference equations; impulse response; Laplace transforms; z transforms; transfer functions; equilibria; stability;
- Linear single-input single-output systems: Routh Hurwitz stability condition; block diagram algebra; closed loop transfer functions; steady state and frequency response; Nyquist stability condition; proportional and integral control:
- Linear input-state-output systems: variation of the constants formula; state feedback; controllability; stabilizability; pole placement; observability; detectability; observers; state space isomorphism theory; formulation of optimal control problems;
- Nonlinear systems: linearization and Lyapunov’s indirect method; invariant sets, equilibria and limit cycles; Poincaré Bendixson theorem; Lyapunov’s direct method; LaSalle’s invariance principle;
- Systems analysis and controller design using MATLAB and Simulink: representations of continuous and discrete time dynamical systems using MATLAB and Simulink; block diagrams in Simulink; simulation; linearization; control system design.
Scheduled Learning & Teaching Activities | 35 | Guided Independent Study | 115 | Placement / Study Abroad | 0 |
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Category | Hours of study time | Description |
Scheduled Learning & Teaching activities | 27 | Formal lectures of new material and tutorials for individual and group support |
Scheduled Learning & Teaching activities | 8 | MATLAB Simulink computing sessions |
Guided Independent Study | 115 | Lecture & assessment preparation, wider reading |
Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Four example sheets | 4 x 2.5 hours | 1-4, 6-9 | Written and oral |
Coursework | 40 | Written Exams | 60 | Practical Exams | 0 |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Control design in MATLAB Simulink | 40 | 8 hours computing sessions, plus guided independent study | 1-9 | Written and oral |
Examination | 60 | Approx. 2 hours | 1-4, 6-9 | Written/verbal on request |
Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-assessment |
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All above | Examination (100%) | All | August Ref/Def period |
If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.
If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.
information that you are expected to consult. Further guidance will be provided by the Module Convener
Basic reading:
Reading list for this module:
Type | Author | Title | Edition | Publisher | Year | ISBN |
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Set | Luenberger, D.G. | Introduction to Dynamic Systems: Theory, Models & Applications | 1st | John Wiley & Sons | 1979 | 978-0471025948 |
Set | Astrom, K.J. and Murray, R.M. | Feedback Systems: An Introduction for Scientists and Engineers | 2nd | Princeton University Press | 2016 | 0691135762 |
Set | Khalil, H.K. | Nonlinear Systems | 3rd | Prentice Hall | 2002 | 0130673897 |
CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | ECM1902, ECM1906 |
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CO-REQUISITE MODULES |
NQF LEVEL (FHEQ) | 6 | AVAILABLE AS DISTANCE LEARNING | No |
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ORIGIN DATE | Thursday 13th December 2018 | LAST REVISION DATE | Wednesday 18th January 2023 |
KEY WORDS SEARCH | Dynamical systems; differential equations; stability; state space; feedback; control; controllability; observability; MATLAB Simulink |
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Please note that all modules are subject to change, please get in touch if you have any questions about this module.