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Présentation
Prerequisite
- Mathematical tools for Electrical and Automatic Control Engineering,
- Industrial sciences (preparatory classes) : transitional and frequency analysis of 1st & 2nd order systems (Bode & Nquist plots)
- Industrial sciences (preparatory classes) : transitional and frequency analysis of 1st & 2nd order systems (Bode & Nquist plots)
Goal
The first aim of this course is to provide students with the basic knowledge required to represent continuous, linear time-invariant systems.
The key concept of this course is the concept of dynamic model.
The key concept of this course is the concept of dynamic model.
Presentation
Signal representation & analysis :
- Signal classification
- Spectral analysis using Fourier & Laplace Transforms
Linear time-invariant systems representation :
- Representation by differential equation
- Representation by transfer function. Concepts of Poles and zeros
- Representation by state space models
Linear time-invariant systems analysis :
- Impulse response & convolution
- Step response and basic dynamic properties
- Stability. Links with poles & zeros
- Frequency response and transfer locus (brief summary)
- Signal Transmission through linear time-invariant systems :
o filtering
o effects of poles & zeros on transient responses
Application to Physical Modelling of dynamic systems :
- Knowledge models : theoretical aspects and practical limits
- Behaviour models: definition and practical aspects
- Basic behaviour model identification methods :
o Indicial analysis
o Frequency analysis
o Stochastic analysis (preview)
- Signal classification
- Spectral analysis using Fourier & Laplace Transforms
Linear time-invariant systems representation :
- Representation by differential equation
- Representation by transfer function. Concepts of Poles and zeros
- Representation by state space models
Linear time-invariant systems analysis :
- Impulse response & convolution
- Step response and basic dynamic properties
- Stability. Links with poles & zeros
- Frequency response and transfer locus (brief summary)
- Signal Transmission through linear time-invariant systems :
o filtering
o effects of poles & zeros on transient responses
Application to Physical Modelling of dynamic systems :
- Knowledge models : theoretical aspects and practical limits
- Behaviour models: definition and practical aspects
- Basic behaviour model identification methods :
o Indicial analysis
o Frequency analysis
o Stochastic analysis (preview)
Modalités
Forms of instruction
- Cours magistraux
- Exemples
Organization
| Type | Amount of time | Comment | |
|---|---|---|---|
| Face to face | |||
| Lecture | 10,00 | ||
| Lab | 4,00 | ||
| Independent study | |||
| Estimated personal study time | 3,00 | ||
| Overall student workload | 17,00 | ||
Evaluation
Ressources
Bibliography
Signals and Systems - A. V. Oppenheim, A. S. Willsky
2e éd. Londres : Prentice Hall, 1996