The Moments in Control: a tool for Analysis, Reduction and Design


  • Abdelmadjid Bentayeb University of Poitiers Laboratoire d’Automatique et d’Informatique Industrielle 40 Avenue du Recteur Pineau 86022 Poitiers
  • Nezha Maamri
  • Jean-Claude Trigeassou


Moments, model reduction, optimization.


In this paper we present a new method of model reduction via the moments. The reduction technique is composed of two steps, the first one consists on using the Least Squares linear optimization algorithm to minimize a cost function representing the norm 2 of the error between different moments of the full order function and the reduced model. This solution represents an initialization of the second step algorithm which is based a Non Linear Programming minimizing a new criterion composed of the cost function of the first step and an equality constraint.


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