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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Chaos control and sensitivity analysis of a double pendulum arm excited by an RLC circuit based nonlinear shaker

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Author(s):
Tusset, Angelo Marcelo ; Piccirillo, Vinicius ; Bueno, Atila Madureira ; Balthazar, Jose Manoel ; Sado, Danuta ; Palacios Felix, Jorge Luis ; Lopes Rebello da Fonseca, Reyolando Manoel
Total Authors: 7
Document type: Review article
Source: JOURNAL OF VIBRATION AND CONTROL; v. 22, n. 17, p. 3621-3637, OCT 2016.
Web of Science Citations: 29
Abstract

In this paper the dynamical interactions of a double pendulum arm and an electromechanical shaker is investigated. The double pendulum is a three degree of freedom system coupled to an RLC circuit based nonlinear shaker through a magnetic field, and the capacitor voltage is a nonlinear function of the instantaneous electric charge. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space and this behaviour is characterized by power spectral density and Lyapunov exponents. The bifurcation diagram is constructed to explore the qualitative behaviour of the system. This kind of electromechanical system is frequently found in robotic systems, and in order to suppress the chaotic motion, the State-Dependent Riccati Equation (SDRE) control and the Nonlinear Saturation control (NSC) techniques are analyzed. The robustness of these two controllers is tested by a sensitivity analysis to parametric uncertainties. (AU)

FAPESP's process: 13/04101-6 - Oscillators synchronization and its appilcations to engineering science
Grantee:Atila Madureira Bueno
Support Opportunities: Regular Research Grants