Delay Robust State Feedback Stabilization of an Underactuated Network of Two Interconnected PDE Systems

Jean Auriol1, Florent Di Meglio2, Federico Bribiesca Argomedo3

  • 1University of Calgary
  • 2MINES ParisTech
  • 3Université de Lyon, INSA Lyon, Laboratoire Ampère CNRS UMR5005

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Regular Session

Sessions

10:00 - 12:00 | Wed 10 Jul | Room 408 | WeA17

Distributed Parameter Systems I

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Abstract

We detail in this article the development of a delay-robust stabilizing state feedback control law for an underactuated network of two systems of two heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through their boundaries. Only one of the two subsystems is actuated. The proposed approach combines successive backstepping transformations which allow to rewrite the original network system as a simple neutral system with distributed delays for which the control design is easy. The proposed feedback law is finally proved to be robust to small delays in the actuation.

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