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Module Specifications

Archived Version 2003 - 2004

Module Title Systems I
Module Code EE207
School School of Electronic Engineering

Online Module Resources

Level 2 Credit Rating 5
Pre-requisite EM103
Co-requisite EM203
Module Aims
To provide the student with an understanding of the modelling and analysis of Linear Time-Invariant (LTI) systems, using state-space and transfer function descriptions.

Learning Outcomes
On completion of this module, the student will be in a position to: 1. Develop mathematical equations for a variety of continuous and discrete-time systems. 2 Linearise non-linear state equations in continuous and discrete time. 3. Solve continuous and discrete-time linear equations to determine state and output trajectories. 4. Determine the stability of linear dynamical systems. 5. Convert from state-space to transfer function form and back. 6. Evaluate and plot the frequency response of a system given the transfer function.

Indicative Time Allowances
Hours
Lectures 24
Tutorials 12
Laboratories 12
Seminars 0
Independent Learning Time 27

Total 75
Placements
Assignments
NOTE
Assume that a 5 credit module load represents approximately 75 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus
Introduction to LTI Analysis: Systems review. Assumptions made in LTI analysis. Modelling Examples: Derivation of state-space models for simple linear continuous and discrete time systems (e.g. electrical/ mechanical systems and population models). Linearisation: Determination of linearised state-space models from non-linear models( assumptions made, continuous-time and discrete-time, examples). Solution of State Equations: Continuous-time, discrete-time, conversion from continuous-time to discrete-time using ZOH equivalent, digital simulation. Stability Analysis: Continuous-time, discrete-time. System Transformations: State-space to transfer function; transfer function to state space; different realisations. Frequency Response: Frequency response from transfer function.
Assessment
Continuous Assessment30% Examination Weight70%
Indicative Reading List
Required Text: Nagrath, I.J. and Gopal, M. Systems Modelling and Analysis, Tata McGraw-Hill, 1984.
Programme or List of Programmes
MEB.Eng. in Mechatronic Engineering
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