Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part I: Ideal energy source


Autoria(s): Piccirillo, V.; Balthazar, José Manoel; Pontes, B. R.; Felix, J. L. P.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

30/09/2013

20/05/2014

30/09/2013

20/05/2014

01/01/2009

Resumo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

In this paper, an optimal linear control is applied to control a chaotic oscillator with shape memory alloy (SMA). Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation, thus guaranteeing both stability and optimality. This work is presented in two parts. Part I considers the so-called ideal problem. In the ideal problem, the excitation source is assumed to be an ideal harmonic excitation.

Formato

139-149

Identificador

http://dx.doi.org/10.1007/s11071-008-9350-6

Nonlinear Dynamics. Dordrecht: Springer, v. 55, n. 1-2, p. 139-149, 2009.

0924-090X

http://hdl.handle.net/11449/24849

10.1007/s11071-008-9350-6

WOS:000262088500010

Idioma(s)

eng

Publicador

Springer

Relação

Nonlinear Dynamics

Direitos

closedAccess

Palavras-Chave #Chaos control #Shape memory alloy #Nonlinear dynamic #Linear feedback control
Tipo

info:eu-repo/semantics/article