Registry

Module Specifications

Archived Version 2007 - 2008

Module Title	Systems I
Module Code	EE207
School	School of Electronic Engineering
Online Module Resources
Level	2	Credit Rating	5
Pre-requisite	None
Co-requisite	None

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.