CORIDA Research team

Robust control of infinite dimensional systems and applications

Team presentation

Our aim is to tackle various control problems by combining methods coming classical systems theory and methods coming from the modern theory of partial differential equations. Recent progress makes now possible the use of robust control techniques for partial differential equations modelling systems coming from hydraulics, acoustics, chemistry or optics.

Research themes

  • Control of fluids and of fluid-structure interactions. In this type of problem, a system of PDE's modelling a fluid (Laplace equation, wave equation, Stokes or Navier-Stokes equations) is coupled to the equations modelling the motion of a portion of the boundary (this might be a rigid body motion or elastic vibrations). One of the difficulties raised by these problems is the occurrence of free boundaries.
  • Optimal location of sensors and of actuators. We consider the problem of controlling a vibrating structure by using distributed or boundary feedback control. Our aim is to determine the optimal location of the sensors and of the actuators. A special attention will be given to actuators and sensors using smart materials technology.
  • Systems coupling ODE's and PDE's. Among the applications motivating the study of such systems we mention the SCOLE type models or the equations modelling the vibration of elastic plates with reinforced boundary.
  • Implementation This research direction is a transversal one, since in most of the direction above implementing robust control algorithms is one of the major challenges for the next years.

Keywords: Control Partial differential equations

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