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 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.

A melancolia nas crônicas de Maria Judite de Carvalho

Maria Judite de Carvalho began his literature in 1949 in journals of Lusitanian capital. Until his death, which occurred in 1998, published more a thousand texts, most of them have never been extracted from their support original, the newspaper, making them unknown to the public today. In order to rescue of this precious material chosen as the literary corpus of Search the chronicles published in the Diário de Lisboa, periodic where the writer published the largest number of texts in the section Rectângulos da Vida, 395 (three hundred and ninety-five) chronic for five consecutive years (1968-1972). Looking at these texts I realized that she inserted into her narrative the changes occurred in the twentieth century, in Portugal, capturing the moment of breaking with traditional models and introducing new paradigms imposed by modernity. What happens in this period is an extremely fast and deep change of values and customs with which the Portuguese society faces and experiences with a certain uneasiness. Given this unstable scenario, Maria Judite expresses, through her ironic and critical narrative, the portrait of the Portuguese people and their behavior full of anguish and sorrows that are revealed through the gloom. After a thorough reading of his texts I found that this was the guiding element of juditiana writing. It is presented in the chronicles in many respects they were privileged during the five years of publications they are loneliness, abandonment, death, isolation of individuals who feel increasingly powerless in the face of changes experienced as a consequence of this state and present is melancholy all the time. This is a photograph of Maria Judite de Carvalho on Portuguese society told in her chronicles as I saw this survey.