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H-infinity control - 5AMAC560

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  • Number of hours

    • Lectures : 12.0
    • Tutorials : 3.0
    • Laboratory works : 12.0
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 3.0
  • Officials : Damien KOENIG

Goals

H-infinity loop-shaping is a design methodology in modern control theory. It combines the traditional intuition of classical control methods, such as Bode's sensitivity integral, with H-infinity optimization techniques to achieve controllers whose stability and performance properties hold good in spite of the disturbances and uncertainties.

Content

Essentially, the control system designer describes the desired responsiveness and noise-suppression properties by weighting the plant transfer function in the frequency domain; the resulting 'loop-shape' is then 'robustified' through optimization. Robustification usually has little effect at high and low frequencies, but the response around unity-gain crossover is adjusted to maximise the system's stability margins.

Prerequisites

3AMAC324
4AMAC431
4AMAC491

Tests

E1 = examen terminal session 1, calculatrices autorisées + 1 feuille A4 R/V manuscrite, durée 1h30.
E2 = examen session 2, calculatrices autorisées + 1 feuille A4 R/V manuscrite, durée 1h30.

The exam is given in english only FR

Calendar

The course exists in the following branches:

    see the course schedule for 2020-2021

    Additional Information

    Course ID : 5AMAC560
    Course language(s): FR

    You can find this course among all other courses.

    Bibliography

    • Duc G., Font S., 2000, Commande Hinfini et mu-analyse, éditions Hermes.
    • Laurent El Ghoaui, 1997, Commande Robuste Ecole Nationale Supérieure de Techniques Avancées.
    • http://www.laas.fr/~arzelier/cours.html
      Auger, D. J., Crawshaw, S., and Hall, S. L. (2008). Robust H-infinity Control of a Steerable Marine Radar Tracker. In Proceedings of the UKACC International Conference on Control 2008. Manchester: UKACC.
      Chiang, R., Safonov, M. G., Balas, G., and Packard, A. (2007). Robust Control Toolbox, 3rd ed. Natick, MA: The Mathworks, Inc.

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    Date of update June 25, 2015

    Université Grenoble Alpes