Open AccessOn the nonlinear output regulation for systems described by Takagi-Sugeno fuzzy descriptor models with a steady-state mapping as an LMI optimization problem
Author(s) -
Luis A. Poblete,
Tonatiuh Hernández-Cortés,
Víctor Estrada-Manzo
Publication year - 2022
Publication title -
pädi boletín científico de ciencias básicas e ingenierías del icbi
Language(s) - English
Resource type - Journals
ISSN - 2007-6363
DOI - 10.29057/icbi.v9i18.7649
Subject(s) - nonlinear system , control theory (sociology) , linear matrix inequality , steady state (chemistry) , state (computer science) , fuzzy logic , mathematics , fuzzy control system , computer science , control (management) , mathematical optimization , artificial intelligence , algorithm , physics , chemistry , quantum mechanics
This paper is devoted to provide a numerical solution the nonlinear output regulation problem for descriptor systems. The control law under design is a nonlinear one, it consists on a nonlinear stabilizer combined with linear steady-state mapping as well as nonlinear steady-state input mapping; all of them are computed via linear matrix inequalities. A numerical example as well as a mechanical system as well are used to illustrate the viability of the proposed approach.