Module Title |
Systems I
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Module Code |
EE207
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School |
School of Electronic Engineering
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Online Module Resources
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Level |
2
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Credit Rating |
5
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Pre-requisite |
None
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Co-requisite |
None
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Module Aims
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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.
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Learning Outcomes
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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.
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Indicative Time Allowances
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Hours
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Lectures |
24
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Tutorials |
12
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Laboratories |
12
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Seminars |
0
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Independent Learning Time |
27
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Total |
75
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Placements |
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Assignments |
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NOTE
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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.
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Indicative Syllabus
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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.
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Assessment | Continuous Assessment | 30% | Examination Weight | 70% |
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Indicative Reading List
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Required Text:Nagrath, I.J. and Gopal, M. Systems Modelling and Analysis, Tata McGraw-Hill, 1984.
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Programme or List of Programmes
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BSSA | Study Abroad (DCU Business School) |
BSSAO | Study Abroad (DCU Business School) |
ECSA | Study Abroad (Engineering & Computing) |
ECSAO | Study Abroad (Engineering & Computing) |
HMSA | Study Abroad (Humanities & Soc Science) |
HMSAO | Study Abroad (Humanities & Soc Science) |
ME | B.Eng. in Mechatronic Engineering |
SHSA | Study Abroad (Science & Health) |
SHSAO | Study Abroad (Science & Health) |
Archives: | |