Large time simulation reduction for solving the mechanical contact problem: A fuzzy control approach

Antonio Gonzalez Sorribes (1) , Jimmy Lauber (1) , Thierry-Marie Guerra (1) , Franck Massa (1) , Thierry Tison (1)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

In this paper, a fuzzy control-based method is provided to solve the unilateral contact between two elastic structures under static loads and multiple contact pairs, modeled by finite element methods. To the best author’s knowledge, this problem has been not exploited in previous literature under this approach. The objective is to achieve an important reduction of time simulation with respect to previous existing approaches for this problem. As seen in the paper, the complexity of controller is independent of the number of degree of freedom and its design does not depend on the value of external static loads

Mots clés: "Mechanical contact problem"; "linear matrix inequality"; "nonlinear control system"; "fuzzy model"

Domaines: Mécanique [physics.med-ph]; Automatique / Robotique

Antonio Gonzalez Sorribes, Jimmy Lauber, Thierry-Marie Guerra, Franck Massa, Thierry Tison. Large time simulation reduction for solving the mechanical contact problem: A fuzzy control approach. World Congress of the International Federation of Automatic Control, Aug 2014, Cape Town, South Africa. ⟨hal-03434462⟩