Registry
Module Specifications
Archived Version 2011 - 2012
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Description INACTIVE - 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 1. Derive mathematical models for lumped continuous electrical, mechanical, and electromechanical systems, and discrete-time population and sampled data systems. 2. Determine the linearity or otherwise of a system and be able to linearise non-linear continuous and discrete state equations using Taylor series expansion. 3. Transform models between state equation and input/output forms. 4. Simulate lumped dynamical systems using SIMULINK. 5. Solve continuous and discrete-time state space equations using a number of techniques. 6. Evaluate the response of a system from the transfer function. 7. Determine the stability of linear dynamical systems from knowledge of the eigenvalues or poles of a system. 8. Design a state feedback control system using elementary eigenvalue placement techniques. 9. Realise models in a number of state space forms. | |||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and
Learning Activities Introduction to LTI AnalysisSystems 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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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||
Programme or List of Programmes |
ECE | BEng Electronic & Computer Engineering |
ECSAO | Study Abroad (Engineering & Computing) |
ME | B.Eng. in Mechatronic Engineering |
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