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2024 | OriginalPaper | Chapter

Dynamical Analysis and Control of Parametric Surface Waves in a Nonlinear and Non-ideally Excited Tank

Authors : Maria Aline Gonçalves, José Manoel Balthazar, Elżbieta Jarzȩbowska, Angelo Marcelo Tusset, Mauricio Aparecido Ribeiro, Hilson Henrique Daum

Published in: Perspectives in Dynamical Systems I — Applications

Publisher: Springer International Publishing

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Abstract

In this work, we revisited and investigated the nonlinear parametric resonance of free surface oscillations of fluid inside a tank excited by a non-ideal power source with limited power supply. Numerical analysis of nonlinear dynamics is presented as phase portrait diagrams, power spectrum and maximum Lyapunov exponents to determine the regions in which the resonant sloshing vibrations have a chaotic or periodic behavior. We also present a State Dependent Riccatti Equation (SDRE) control design that can reduce the chaotic movement to a stable condition. The SDRE technique is based on the Linear Quadratic Regulator (LQR) and it has the characteristic of separating nonlinearity from the system and applying feedback control.

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previous chapter Optimization of the Two-Mass Oscillators Regarding the Accumulation of Energy at Mechanical Resonance

next chapter Influence of a Cracked Rod in the Dynamics of a Planar Slider-Crank Mechanism

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Title: Dynamical Analysis and Control of Parametric Surface Waves in a Nonlinear and Non-ideally Excited Tank
Authors: Maria Aline Gonçalves
José Manoel Balthazar
Elżbieta Jarzȩbowska
Angelo Marcelo Tusset
Mauricio Aparecido Ribeiro
Hilson Henrique Daum
Publisher: Springer International Publishing
Book: Perspectives in Dynamical Systems I — Applications
Print ISBN: 978-3-031-56491-8

Electronic ISBN: 978-3-031-56492-5

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-56492-5_17

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