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Stabilization Based on Fuzzy System for Structures Affected by External Disturbances

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Book cover Numerical and Evolutionary Optimization – NEO 2017 (NEO 2017)

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Abstract

Vertical structures such as buildings, bridges and trusses are subjected to strong changes with respect to their original state of design due to different external disturbances. Seismic waves are leading sources of disturbances giving rise to lateral displacements, as well as vertical and angular deformations, which increase the risk of structural failure compromising the structure integrity. In order to prevent catastrophic failures in structures and its subsequent side effects, in this work we propose a scheme for the attenuation of the vibration effects in vertical structures by means of a control system based on a Mamdani-type fuzzy inference system. The fuzzy rules of the controller were designed such that the close loop system is guaranteed to satisfy the Lyapunov stability criterion. Numerical simulations were performed to evaluate the best performance and effectiveness of fuzzy control, considering that the controller is placed at different levels of the building and inducing as perturbations signals that approximate a seismic event. The results show that the proposed controller attenuates the vibration in the structure accomplishing the control objective.

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Acknowledgements

This research was partially funded by project number 6351.17-P and “Estabilización orbital de sistemas mecánicos - Parte II: Estudio de aspectos de estabilidad” from “Tecnológico Nacional de México”.

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Correspondence to Nohe R. Cazarez-Castro .

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Alcaraz-Rodriguez, M.A., Cazarez-Castro, N.R., Cardenas-Maciel, S.L., Coria, L.N., Contreras-Hernandez, S. (2019). Stabilization Based on Fuzzy System for Structures Affected by External Disturbances. In: Trujillo, L., Schütze, O., Maldonado, Y., Valle, P. (eds) Numerical and Evolutionary Optimization – NEO 2017. NEO 2017. Studies in Computational Intelligence, vol 785. Springer, Cham. https://doi.org/10.1007/978-3-319-96104-0_14

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