Control Law Proposition for the Stabilization of Discrete Takagi-Sugeno Models

Thierry-Marie Guerra (1) , Alexandre Kruszewski (2) , Miguel Bernal (3)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
2 SyNeR - Systèmes Non Linéaires et à Retards
3 National Research System

This paper deals with the stabilization of a class of discrete nonlinear models, namely those in the Takagi-Sugeno form; its main goal is to reduce conservatism of existing stabilization conditions using a special class of candidate Lyapunov functions and an enhanced control law. It is shown that the use of the aforementioned Lyapunov function leads to less-pessimistic solutions. The usefulness of the new control law is shown through several examples.

Domaines: Automatique

Thierry-Marie Guerra, Alexandre Kruszewski, Miguel Bernal. Control Law Proposition for the Stabilization of Discrete Takagi-Sugeno Models. IEEE Transactions on Fuzzy Systems, 2009, 17 (3), pp.724-731. ⟨10.1109/TFUZZ.2008.928602⟩. ⟨hal-00519427⟩