Post-Doctoral Research Visit F/M Discretisation of Homogeneous Sliding Mode Controllers for Infinite Dimensional Systems

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Type de contrat : CDD

Niveau de diplôme exigé : Thèse ou équivalent

Fonction : Post-Doctorant

Niveau d'expérience souhaité : Jusqu'à 3 ans

A propos du centre ou de la direction fonctionnelle

Created in 2008, the Inria center at the University of Lille employs 360 people, including 305 scientists in 15 research teams. Recognized for its strong involvement in the socio-economic development of the Hauts-De-France region, the Inria center at the University of Lille maintains a close relationship with large companies and SMEs. By fostering synergies between researchers and industry, Inria contributes to the transfer of skills and expertise in the field of digital technologies, and provides access to the best of European and international research for the benefit of innovation and businesses, particularly in the region.

For over 10 years, the Inria center at the University of Lille has been at the heart of Lille's university and scientific ecosystem, as well as at the heart of Frenchtech, with a technology showroom based on avenue de Bretagne in Lille, on the EuraTechnologies site of economic excellence dedicated to information and communication technologies (ICT).

Contexte et atouts du poste

This postoctoral research is within the framework of a partnership of the project ANR SLIMDISC dedicated to disctization of sliding mode controllers for infinite dimensional control systems.

Mission confiée

Assignments :
With the help of Andrey Polyakov, the recruited person will be taken to develop discretization algorithms of homogeneous sliding mode controllers for various infinite dimensional control system. 

For a better knowledge of the proposed research subject :

  • A. Polyakov, Generalized Homogeneity in Systems and Control, Second Edition, Springer, 2025

  • A. Polyakov, D. Efimov, X. Ping, Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems, Automatica, 2023

  • B. Brogliato, A. Polyakov, Digital implementation of sliding‐mode control via the implicit method: A tutorial, International Journal of Robust and Nonlinear Control, 2021

  • A. Polyakov, D. Efimov, B. Brogliation, Consistent Discretization of Finite-time and Fixed-time Stable Systems, SIAM Journal on Control and Optimization, 2019

Collaboration :
The recruited person will be in connection with partners of ANR SLIMDISC (Inria Grenoble and CNRS L2N, Nantes).

Responsibilities :
The person recruited is responsible for theoretical developments of discretization algorithm and thier implementation in MATLAB. Well-developed and well-implemented algorithms may be included in Homogeneous Control Systems Toolbox for MATLAB (https://chercheurs.lille.inria.fr/~polyakov/hcs/index.html)

Principales activités

Main activities:

  • development of discretization algorithms for sliding mode controllers
  • theoretical justification of results
  • implementation of discretization algorithms in MATLAB (and/or Python)
  • writing reseach papers
  • presentation of results at conferences and project meetings 

Additional activities:

  • experimental validation of results

 

 

Compétences

Technical skills and level required :

  • PhD in Control Theory (or in Applied Mathematics) is necessary
  • good knowledge of infinite dimensional control systems (e.g., control of PDE models) is necessary
  • good knowledge of MATLAB (or Python) is necessary
  • a knowledge of conventional methods of discretization of continuous-time systems (e.g., ODEs and PDEs) is welcome
  • a knowledge of homogeneous and/or sliding mode control systems is welcome
  • an experience of practical control applications is welcome

Languages :

  • good oral and writing English is necessary
  • a knowledge of French is not required but welcome

 

Avantages

  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage

Rémunération

Gross salary by month : 2788€