Dependent delay stability characterization for a polynomial T-S Carbon Dioxide model

Autor:	Elhoussine Elmazoudi, Noureddine Elalami, Azeddine Elmajidi, Jamila Elalami
Rok vydání:	2022
Předmět:	Stability conditions Nonlinear system Polynomial Computer simulation Applied Mathematics Discrete Mathematics and Combinatorics Applied mathematics Point (geometry) Time complexity Stability (probability) Fuzzy logic Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - S. 15:143
ISSN:	1937-1179 1937-1632
DOI:	10.3934/dcdss.2021035
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::940c67900ae7a73011cf56c23dcbfea7 https://doi.org/10.3934/dcdss.2021035 Zobrazit plný text záznamu