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Automation, robotics, sensors - 2022

Multivariable control applied to the automatic piloting of a civil plane on the approach


This course is intended for engineers wishing to:

  • Discover or review their knowledge of the control of multivariable systems by modal synthesis and H∞ robust control
  • Apply these techniques to a specific and realistic case study by fully integrating the use of the latest Matlab tools available

The chosen application is the design of an autopilot of a civil aircraft on the approach up to handling the main undercarriage. 

The summary techniques applied will include:

  • Standard control: successive loop closures, use of the root site and hub placement techniques
  • Modal control: placement of eigenvalues and eigenvectors to ensure decoupling
  • H∞ or mixed H∞/H2 control: calculating gains by the minimization of standards of different transfers (frequency weighted) on the closed loop in order to ensure performance (followed by a reference model) and robustness.

A significant part of the course will focus on practical work with Matlab/Simulink, thereby enabling learners to focus on the adjustment of the various control techniques, understanding compromises and using synergies between techniques. The laws developed will be implemented and tested on a non-linear Simulink model representative of the behavior of a civil aircraft in the landing phase.


The course has 3 phases :

  • Phase 1: Initial 2-day training at EUROSAE in Toulouse
  • Phase 2: Remote training (realization of TP Matlab/Simulink) amounting to 2 days spread over a 3-week period.
  • Phase 1: Initial 1-day training at EUROSAE in Toulouse

Discussion on a standard solution, review of the course.


Emphasis will be given to the practical aspects of adjustment and implementation, rather than on the theoretical aspects, focusing as much as possible on the physical understanding of the phenomena.


Course level: Advanced

A basic knowledge of automatics is required (concept of closed loop, stability of linear systems, transfer functions, hubs).  A Matlab/Simulink environment (version 2012b or higher) with control and robust control toolboxes is required for the realization of remote TPs (phase 2).


Caroline Berard

Lecturer in Automation at ISAE-SUPAERO (the Institut Supérieur de l’Aéronautique et de l’Espace or National Higher French Institute of Aeronautics and Space)

Jean Marc Biannic

Director of Research at ONERA-DTIS, Responsible for the identification and control of systems, Lecturer of equivalent rank at ISAE-SUPAERO.


Phase 1 : 4 half-days of classeroom training

  • Introduction
    • Overview of the model used and the specifications/technical agreement
    • Generic structure of an autopilot (piloting/guidance)
  • Modal Control
    • Recap
    • Matlab functions
    • Exemples
  • H∞ control
    • General principle
    • Matlab functions
    • Demonstrations
  • Delivery and handling of synthesis tools and models
    • Generation and analysis of linearized models
    • First adjustments in the longitudinal plane
    • Implantation on the non-linear simulator
    • Detail and scheduling of forthcoming practical work

Phase 2 : remote practical work

  • Adjustment of modal synthesis control laws
  • Adjustment of H∞ synthesis piloting laws
  • Adjustment of guidance and integration laws and tests on the simulator 

Weekly: submitting files to the facilitators and discussions (forum)

Phase 3 : 1-day "appraisal" as classroom training

  • Overview of typical solution
  • Comparisons of problems proposed by learners
  • Overall assessment


Scheduled in French:


Phase 1 : 8 to 10 May, 2022

Phase 2 : June 20, 2022


For the English realization, please, consult us.


€2,120 excluding tax (20% VAT)

See general terms

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