Abstract
The growing interest in the preservation of environment leads several researchers to investigate the causes behind the high level of \({\text {CO}}_2\) and how to decrease it. This paper, deals with continuous time delay nonlinear systems (TDNS) stability conditions using the Takagi Sugeno Fuzzy Modeling. First a Nonlinear Carbon Dioxide Model is defined and transformed to a corresponding Fuzzy Takagi Sugeno (TS) multi-model. Then, by using the Lyapunov-Krasovskii Functionals (LK-F) and extending some linear time delay systems dependent delay stability technique to TS Fuzzy Modeling, a new relaxed stability conditions involving uncommon free matrices are addressed in Linear Matrix Inequalities (LMI). Finally a numerical simulation is also carried out to support the analytic results and to compare the conservativeness of the proven condition to other existing methods.
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The authors would like to thank the reviewers for their constructive remarks and recommendations which will improve the quality of the final paper.
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Elmajidi, A., Elmazoudi, E., Elalami, J., Elalami, N. (2022). New Delay Dependent Stability Condition for a Carbon Dioxide Takagi Sugeno Model. In: Bennani, S., Lakhrissi, Y., Khaissidi, G., Mansouri, A., Khamlichi, Y. (eds) WITS 2020. Lecture Notes in Electrical Engineering, vol 745. Springer, Singapore. https://doi.org/10.1007/978-981-33-6893-4_36
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