Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part I: Ideal energy source
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Data
2009-01-01
Autores
Piccirillo, V. [UNESP]
Balthazar, José Manoel [UNESP]
Pontes, B. R.
Felix, J. L. P. [UNESP]
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Editor
Springer
Resumo
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.
Descrição
Palavras-chave
Chaos control, Shape memory alloy, Nonlinear dynamic, Linear feedback control
Como citar
Nonlinear Dynamics. Dordrecht: Springer, v. 55, n. 1-2, p. 139-149, 2009.