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inria-00193865, version 3

An H∞ LPV Design for Sampling Varying Controllers : Experimentation with a T Inverted Pendulum

David Robert 1, Olivier Sename a1, Daniel Simon () b1

N° RR-6380 (2007)

Abstract: This report deals with the adaptation of a real-time controller's sampling period to account for the available computing resource variations. The design of such controllers requires a parameter-dependent discrete-time model of the plant, where the parameter is the sampling period. A polytopic approach for LPV (Linear Parameter Varying) systems is then developed to get an H∞ sampling period dependent controller. A reduction of the polytope size is here performed which drastically reduces the conservatism of the approach and makes easier the controller implementation. Some experimental results on a T inverted pendulum are provided to show the efficiency of the approach.

  • a –  Institut National Polytechnique de Grenoble - INPG
  • b –  INRIA
  • 1:  NeCS (INRIA Grenoble Rhône-Alpes / Gipsa-lab)
  • CNRS : UMR5216 – INRIA – Gipsa-lab – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
  • Domain : Computer Science/Automatic Control Engineering
  • Internal note : RR-6380
  • Comment : Version préliminaire d'un article soumis à la revue "IEEE Transactions on Control Systems Technology"
  • Available versions :  v1 (2007-12-04) v2 (2007-12-05) v3 (2009-01-30)
 
  • inria-00193865, version 3
  • oai:hal.inria.fr:inria-00193865
  • From: 
  • Submitted on: Tuesday, 27 January 2009 15:36:42
  • Updated on: Friday, 18 September 2009 17:19:33