Estabilização de órbitas periódicas instáveis utilizando controle por modos deslizantes com compensação adaptativa
The chaotic behavior has been widely observed in nature, from physical and chemical phenomena to biological systems, present in many engineering applications and found in both simple mechanical oscillators and advanced communication systems. With regard to mechanical systems, the effects of nonli...
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| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/19376 |
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| Resumo: | The chaotic behavior has been widely observed in nature, from physical and
chemical phenomena to biological systems, present in many engineering applications
and found in both simple mechanical oscillators and advanced communication
systems. With regard to mechanical systems, the effects of nonlinearities on the
dynamic behavior of the system are often of undesirable character, which has motivated
the development of compensation strategies. However, it has been recently
found that there are situations in which the richness of nonlinear dynamics becomes
attractive. Due to their parametric sensitivity, chaotic systems can suffer considerable
changes by small variations on the value of their parameters, which is extremely
favorable when we want to give greater flexibility to the controlled system. Hence,
we analyze in this work the parametric sensitivity of Duffing oscillator, in particular
its unstable periodic orbits and Poincar´e section due to changes in nominal value of
the parameter that multiplies the cubic term. Since the amount of energy needed to
stabilize Unstable Periodic Orbits is minimum, we analyze the control action needed
to control and stabilize such orbits which belong to different versions of the Duffing
oscillator. For that we will use a smoothed sliding mode controller with an adaptive
compensation term based on Fourier series. |
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