Free Mechanical Vibrations Models via p-fuzzy Systems
Authors
Laécio C. Barros, Daniel Sanchez, Rodolfo Lobo, Estevão Esmi
Corresponding Author
Laécio C. Barros
Available Online August 2019.
- DOI
- 10.2991/eusflat-19.2019.87How to use a DOI?
- Keywords
- Free mechanical vibrations fuzzy numbers Mamdani fuzzy controller p-fuzzy systems
- Abstract
In this work, we use a Mamdani fuzzy controller based on fuzzy rules that represent position and velocity of a particle for a free mechanical vibration model. Here, we focus on three major cases: the harmonic oscillator, the damped vibration, and the negative damping case. This study combines classical numerical methods for ordinary differential equations and fuzzy rule-based systems to describe the dynamical interaction between the position and velocity. In this regard, we propose a p-fuzzy system to study this phenomenon. Computational simulations reveal that the solution of the proposed p-fuzzy system is similar to the corresponding analytic solution of the classical free mechanical vibration problems.
- Copyright
- © 2019, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Laécio C. Barros AU - Daniel Sanchez AU - Rodolfo Lobo AU - Estevão Esmi PY - 2019/08 DA - 2019/08 TI - Free Mechanical Vibrations Models via p-fuzzy Systems BT - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019) PB - Atlantis Press SP - 627 EP - 633 SN - 2589-6644 UR - https://doi.org/10.2991/eusflat-19.2019.87 DO - 10.2991/eusflat-19.2019.87 ID - Barros2019/08 ER -