IJPAM: Volume 86, No. 3 (2013)

CONTROL DESIGN APPLIED TO A NON-IDEAL
STRUCTURAL SYSTEM WITH BEHAVIOR CHAOTIC

Fábio Roberto Chavarette
Faculty of Engineering of Ilha Solteira
UNESP - Univ Estadual Paulista
Departament of Mathematics
Avenida Brasil, 56, 15385-000, Ilha Solteira, SP, BRAZIL


Abstract. In this paper we study the behavior of a structure vulnerable to excessive vibrations caused by an non-ideal power source. To perform this study, the mathematical model is proposed, derive the equations of motion for a simple plane frame excited by an unbalanced rotating machine with limited power (non-ideal motor). The non-linear and non-ideal dynamics in system is demonstrated with a chaotic behavior. We use a State-Dependent Riccati Equation Control technique for regulate the chaotic behavior, in order to obtain a periodic orbit small and to decrease its amplitude. The simulation results show the identification by State-Dependent Riccati Equation Control is very effective.

Received: February 28, 2013

AMS Subject Classification: 34H10, 49N05

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

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DOI: 10.12732/ijpam.v86i3.3 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: 2013
Volume: 86
Issue: 3