Open AccessDependent delay stability characterization for a polynomial T-S Carbon Dioxide model
Author(s) -
Azeddine Elmajidi,
Elhoussine Elmazoudi,
Jamila Elalami,
Noureddine Elalami
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021035
Subject(s) - nonlinear system , stability (learning theory) , control theory (sociology) , mathematics , fuzzy logic , stability conditions , polynomial , equilibrium point , fuzzy control system , matrix (chemical analysis) , exponential stability , linear matrix inequality , computer science , mathematical optimization , mathematical analysis , materials science , physics , statistics , differential equation , control (management) , discrete time and continuous time , quantum mechanics , machine learning , artificial intelligence , composite material
By extending some linear time delay systems stability techniques, this paper, focuses on continuous time delay nonlinear systems (TDNS) dependent delay stability conditions. First, by using the Takagi Sugeno Fuzzy Modeling, a novel relaxed dependent delay stability conditions involving uncommon free matrices, are addressed in Linear Matrix Inequalities (LMI). Then, as application a Nonlinear Carbon Dioxide Model is used and rewritten by a change of coordinate to the interior equilibrium point. Next, by using the non-linearity sector method the model is transformed to a corresponding Fuzzy Takagi Sugeno (TS) multi-model. Also, the maximum delay margin to which the model is stable, is identified. Finally, to prove the analytic results a numerical simulation is also performed and compared to other methods.