English

Control of nonlinear switched systems based on validated simulation

Systems and Control 2016-11-22 v1

Abstract

We present an algorithm of control synthesis for nonlinear switched systems, based on an existing procedure of state-space bisection and made available for nonlinear systems with the help of validated simulation. The use of validated simulation also permits to take bounded perturbations and varying parameters into account. It is particularly interesting for safety critical applications, such as in aeronautical, military or medical fields. The whole approach is entirely guaranteed and the induced controllers are correct-by-design.

Keywords

Cite

@article{arxiv.1611.06692,
  title  = {Control of nonlinear switched systems based on validated simulation},
  author = {Adrien Le Coënt and Julien Alexandre Dit Sandretto and Alexandre Chapoutot and Laurent Fribourg},
  journal= {arXiv preprint arXiv:1611.06692},
  year   = {2016}
}
R2 v1 2026-06-22T16:58:54.628Z