On a recursive method for feedback linearization of nonlinear systems: the case of mixing flow dynamical system

Authors

  • Raluca Efrem University of Craiova Department of Mathematics 13 A. I. Cuza Street, 200585 Craiova, Romania
  • Adela Ionescu University of Craiova Department of Applied Mathematics 13 A. I. Cuza Street, 200585 Craiova, Romania
  • Florian Munteanu University of Craiova Department of Applied Mathematics 13 A. I. Cuza Street, 200585 Craiova, Romania

DOI:

https://doi.org/10.1478/AAPP.97S2A2

Keywords:

recursive algoritm, non linear controller form,

Abstract

The paper aims to approach a design method for transforming a non-linear system in order to find a state-feedback controller form for it. The method is based on a recursive algorithm and takes into account the controllability matrix of the initial system. The efficiency of the recursive algorithm compared to classical feedback linearization method is tested on the 2d mixing flow dynamical system, in a perturbed form with a logistic-type term. It is outlined both the shorter time for the calculus, and the final form less complex for the global non-linear controller associated to the model.

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Published

2019-12-20

Issue

Section

NACS 2017 (Conference Proceedings)