IJPAM: Volume 103, No. 2 (2015)

CHAOS CONTROL VIA STATE-DEPENDENT RICCATI
EQUATION METHOD APPLIED A NON-IDEAL VIBRATION
ABSORBER COUPLED TO A NONLINEAR OSCILLATOR

Fábio Roberto Chavarette$^1$, Nelson José Peruzzi$^2$,
Douglas da Costa Ferreira$^3$, Mara Lucia Martins Lopes$^4$
$^{1,4}$Department of Mathematics
Faculty of Engineering of Ilha Solteira
UNESP - Univ.Estadual Paulista
Brasil Avenue, 56, 15385-000, Ilha Solteira, SP, BRAZIL
$^2$Department of Exact Sciences
UNESP - Univ. Estadual Paulista
Via de Acesso Prof. Paulo Donato Castellane s/n,
14884-900 - Jaboticabal, SP, BRAZIL
$^3$Mechanical Engineering Department
UFMT - Federal University of Mato Grosso
Rondonópolis, MT, BRAZIL


Abstract. The non-ideal vibration absorber system coupled to a nonlinear oscillator is proposed in the paper. This system is demonstrated with a chaotic behavior and we present the control technical for the chaos stabilization. The simulation results show the effectiveness of the control strategy.

Received: May 13, 2015

AMS Subject Classification: 93C10

Key Words and Phrases: chaos control, state-dependent Riccati equation, non-ideal system, vibration

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DOI: 10.12732/ijpam.v103i2.15 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 2
Pages: 311 - 320


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