4 ECTS credits
110 u studietijd

Aanbieding 2 met studiegidsnummer 9017085ENR voor alle studenten in het 2e semester met een verdiepend master niveau.

Semester
2e semester
Inschrijving onder examencontract
Niet mogelijk
Beoordelingsvoet
Beoordeling (0 tot 20)
2e zittijd mogelijk
Ja
Onderwijstaal
Engels
Onder samenwerkingsakkoord
Onder interuniversitair akkoord mbt. opleiding
Uitdovend
Ja
Faculteit
Faculteit Ingenieurswetenschappen
Verantwoordelijke vakgroep
Elektriciteit
Onderwijsteam
John Lataire (titularis)
Onderdelen en contacturen
18 contacturen Hoorcollege
36 contacturen Werkcolleges, practica en oefeningen
48 contacturen Zelfstudie en externe werkvormen
Inhoud

Content

This course describes the various steps one has to go through for obtaining a linear dynamic model of a process. It starts with the choice (design) of the measurement setup, the choice (design) of the excitation signal, the choice of the parametric model (discrete time, continuous time, parametric versus non-parametric noise model...), the estimation of the parametric model (identification toolboxes in Matlab), till finally the model selection and the model validation. Hereby the influence of each error source (stochastic measurement errors, systematic measurement errors, non-linear distortions, time-variant effects, model errors...) on the final result is studied in detail.

Each step is illustrated thoroughly by means of real life examples.

The course starts with the basic techniques necessary to predict the stochastic behaviour of an estimator (consistency, bias, efficiency, probability density function, robustness). Furthermore, the continuous thread throughout the entire course is the formulation of the maximum likelihood solution starting from the measured data. This approach has the advantage that provides the estimated model with an estimate of its uncertainty.

Contents

  1. Preliminary Example
  2. Nonparametric Models of LTI Systems
  3. Parametric Models of LTI Systems
  4. Improved Nonparametric Models for LTI Systems
  5. Estimation Parametric Plant Model with Known Noise Model
  6. Estimation Parametric Plant Model with Estimated Nonparametric Noise Model
  7. Estimation Parametric Plant and/or Noise Models
  8. Guidelines
  9. Take Home Messages
  10. Books on system identification

Aims

After following this course, the student should be able to solve independently an identification problem. More particularly, the student should be able to:

  • Choose an appropriate measurement setup for a given identification problem (prediction/control or physical interpretation).
  • Design an excitation signal for measuring simultaneously  in a given frequency band  the dynamic behaviour of a system, the noise level, the level of the nonlinear distortions, and time variant effects.
  • Select and validate a model (discrete- or continuous-time, dynamic order) from noisy input, noisy output observations.
  • Select an appropriate estimator for a particular identification problem.
  • Analyse and interpret critically measurement and identification results.
  • Make a motivated choice between non-parametric and parametric noise models.

In addition, the student must have acquired insight into:

  • The importance and use of the following asymptotic properties of an estimator: consistency, asymptotic bias, asymptotic efficiency, robustness, and asymptotic normality.
  • The importance and use of the (strong) law of large numbers, and the central limit theorem for proving the asymptotic properties of an estimator.
  • The important steps in the proof of the asymptotic properties of an estimator.
  • The problems that arise when the input signal is not known exactly and the possible solutions.
  • The difficulties of identifying dynamical systems operating in closed loop, and the possible solutions.
Studiemateriaal
Handboek (Vereist) : System Identification, Theory for the User, English. L. Ljung, 2de, Biliotheek van de vakgroep, 9780136566953, 1999
Handboek (Vereist) : System identification, A Frequency Domain Approach, R. Pintelon and J. Schoukens, 2de, Biliotheek van de vakgroep, 9780470640371, 2012
Praktisch cursusmateriaal (Vereist) : recent papers from top ranked international journals on system identification
Bijkomende info

Only participants to the Doctoral Spring School organised by de Department of Electricity can register for version IR-ELEC-7960a of this course.

This version in taught in English. L. Ljung (1999). System Identification: Theory for the User. Prentice-Hall: Upper Saddle River.

R. Pintelon and J. Schoukens (2012). System identification: A Frequency Domain Approach. 2nd edition,  IEEE Press: New York.

+ recent papers from top ranked international journals on system identification

Leerresultaten

Algemene competenties

AIMS AND OBJECTIVES
This course describes the various steps one has to go through for obtaining a linear dynamic model of a process. It starts with the choice (design) of the measurement setup, the choice (design) of the excitation signal, the choice of the parametric model (discrete time, continuous time, parametric versus non-parametric noise model...), the estimation of the parametric model (identification toolboxes in Matlab), till finally the model selection and the model validation. Hereby the influence of each error source (stochastic measurement errors, systematic measurement errors, non-linear distortions, time-variant effects, model errors...) on the final result is studied in detail. Each step is illustrated thoroughly by means of real life examples.

FINAL REQUIREMENTS
- Knowledge and insight: being able to analyse existing estimators and understand their stochastic behaviour; being able to design an identification experiment; being able to construct an estimator for a given identification problem.
- Opinion formation: for all topics mentioned above being able to solve simple exercises and to make choices; understanding the pros and cons of the choices made; critical attitude w.r.t. to the results obtained.
- Learning skills: using the existing identification literature, being able to solve a practical identification problem (experiment design, choice model, choice estimator, model validation, and uncertainty calculation).
- Communication: clear and accurate oral and written reporting

EXAM REQUIREMENTS
Written report and oral presentation of an identification project. In this project the student should (i) be able to learn new theories/identificationmethods from the literature, (ii) be able to solve a practical identification problem, and (iii) have a crictical attitude w.r.t. the literature and the own results obtained.

This course contributes to the following programme outcomes of the Master in Electronics and Information Technology Engineering:

The Master in Engineering Sciences has in-depth knowledge and understanding of
3. the advanced methods and theories to schematize and model complex problems or processes

The Master in Engineering Sciences can
4. reformulate complex engineering problems in order to solve them (simplifying assumptions, reducing complexity)
6. correctly report on research or design results in the form of a technical report or in the form of a scientific paper
11. think critically about and evaluate projects, systems and processes, particularly when based on incomplete, contradictory and/or redundant information

The Master in Engineering Sciences has
13. a critical attitude towards one’s own results and those of others
15. the flexibility and adaptability to work in an international and/or intercultural context
16. an attitude of life-long learning as needed for the future development of his/her career

The Master in Electronics and Information Technology Engineering:
18. Has a profound knowledge of either (i) nano- and opto-electronics and embedded systems, (ii) information and communication technology systems or (iii) measuring, modelling and control.
21. Is able to model, simulate, measure and control electronic components and physical phenomena.

Beoordelingsinformatie

De beoordeling bestaat uit volgende opdrachtcategorieën:
Examen Mondeling bepaalt 50% van het eindcijfer

WPO Verslag bepaalt 50% van het eindcijfer

Binnen de categorie Examen Mondeling dient men volgende opdrachten af te werken:

  • oral examination open book met een wegingsfactor 1 en aldus 50% van het totale eindcijfer.

    Toelichting: During the oral examination the student can use his/her written report, de course notes, and the available system identification literature.

Binnen de categorie WPO Verslag dient men volgende opdrachten af te werken:

  • written report of the project met een wegingsfactor 1 en aldus 50% van het totale eindcijfer.

    Toelichting: Written report and oral defense of the project

Aanvullende info mbt evaluatie

Written report and oral defense of the project. During the oral examination the student can use his/her written report, de course notes, and the available system identification literature.

Toegestane onvoldoende
Kijk in het aanvullend OER van je faculteit na of een toegestane onvoldoende mogelijk is voor dit opleidingsonderdeel.

Academische context

Deze aanbieding maakt deel uit van de volgende studieplannen:
Master in de ingenieurswetenschappen: fotonica: Standaard traject
Master of Photonics Engineering: On campus traject (enkel aangeboden in het Engels)
Master of Photonics Engineering: Online/Digital traject (enkel aangeboden in het Engels)