988 resultados para Local fractional Fourier operator


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Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para a obtenção do grau de Mestre em Engenharia do Ambiente, perfil Engenharia Gestão e Sistemas Ambientais

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O presente trabalho centra-se na gestão de resíduos produzidos no sistema de drenagem e tratamento de águas residuais do município de Vila Nova de Gaia. A entidade onde decorreu o trabalho é uma empresa responsável pela distribuição de água e pela drenagem e tratamento de águas residuais. A empresa está certificada pela norma NP EN ISO 14001, desde 2001, sendo então um dos objectivos o enquadramento da gestão dos resíduos em estudo na referida norma, acompanhando os requisitos da mesma com vista ao seu total cumprimento. Outros dos objectivos foi estudar qual a opção de tratamento mais adequada a aplicar ao resíduo no seu local de armazenamento temporário com vista a minorar os seus impactes ambientais. De acordo com a caracterização analítica do resíduo e com os aspetos legais aplicáveis, foram também analisados os destinos finais possíveis e ambientalmente adequados ao resíduo. A medida proposta para a minimização de impactes no local de armazenamento temporário do resíduo foi a estabilização com cal nos leitos de secagem, disponíveis numa antiga ETAR de loteamento. O doseamento de cal a aplicar ao resíduo será de 10 kg de cal apagada comercial (Ca (OH)2) por uma tonelada de resíduo fresco com um período mínimo de secagem de 2 meses. Outra das medidas de minimização de impactes selecionada foi a implantação de uma cortina arbórea ao redor da instalação. Sendo o resíduo em estudo muito heterogéneo, constituído principalmente por areias, terras e gradados, a valorização foi equacionada mas não foram encontrados alternativas viáveis. O destino final considerado como mais adequado tendo em conta todas as características do resíduo e eluato, analisadas de acordo com o previsto no Decreto-Lei n.º 183/2009 de 10 de Agosto, foi o aterro para resíduos não perigosos. Foi também objecto do estudo a identificação e análise de todos os aspectos ambientais relacionados com a gestão de resíduos e a avaliação da sua significância. Dos aspectos ambientais identificados como significativos, destacam-se aqueles que ocorrem presentemente, os resíduos armazenados (gradados/limpeza de redes), e os que podem ocorrer em situações de emergência, fuga/derrame de óleos/combustíveis e cheiros/odores. De forma a minimizar os aspectos ambientais identificados, e de acordo com a norma NP EN ISO 14001, foram propostas ações que constam de um programa de gestão elaborado para este trabalho, onde se definem os objectivos, metas e prazos. As principais medidas propostas no programa de gestão foram: Estabilização com cal (inicial e reforço se necessário); melhoria do espaço envolvente; análise de questões de saúde ocupacional/segurança; adjudicação de prestação de serviços da recolha por operador licenciado; implantação da cortina arbórea; registo no SIRAPA; criação de planos de emergência ambiental e de segurança.

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Proceedings of the European Control Conference, ECC’01, Porto, Portugal, September 2001

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Dissertação conducente à obtenção do grau de Mestre em Educação Social e Intervenção Comunitária, sob orientação do Professor Doutor Luís Manuel Costa Moreno

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This paper studies the performance of integer and fractional order controllers in a hexapod robot with joints at the legs having viscous friction and flexibility. For that objective the robot prescribed motion is characterized in terms of several locomotion variables. The controller performance is analised through the Nyquist stability criterion. A set of model-based experiments reveals the influence of the different controller implementations upon the proposed metrics.

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The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed, but the proposed algorithms are still in a research stage. This paper discusses a novel method, with two degrees of freedom, for the design of fractional discrete-time derivatives. The performance of several approximations of fractional derivatives is investigated in the perspective of nonlinear system control.

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This paper studies the describing function (DF) of systems constituted by a mass subjected to nonlinear friction. The friction force is decomposed into two components, namely, the viscous and the Coulomb friction. The system dynamics is analyzed in the DF perspective revealing a fractional-order behavior. The reliability of the DF method is evaluated through the signal harmonic contents.

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In recent years, significant research in the field of electrochemistry was developed. The performance of electrical devices, depending on the processes of the electrolytes, was described and the physical origin of each parameter was established. However, the influence of the irregularity of the electrodes was not a subject of study and only recently this problem became relevant in the viewpoint of fractional calculus. This paper describes an electrolytic process in the perspective of fractional order capacitors. In this line of thought, are developed several experiments for measuring the electrical impedance of the devices. The results are analyzed through the frequency response, revealing capacitances of fractional order that can constitute an alternative to the classical integer order elements. Fractional order electric circuits are used to model and study the performance of the electrolyte processes.

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The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared. Simulations are presented assessing the performance of the proposed fractional-order algorithms.

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Fractional calculus (FC) is no longer considered solely from a mathematical viewpoint, and is now applied in many emerging scientific areas, such as electricity, magnetism, mechanics, fluid dynamics, and medicine. In the field of dynamical systems, significant work has been carried out proving the importance of fractional order mathematical models. This article studies the electrical impedance of vegetables and fruits from a FC perspective. From this line of thought, several experiments are developed for measuring the impedance of botanical elements. The results are analyzed using Bode and polar diagrams, which lead to electrical circuit models revealing fractional-order behaviour.

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In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.

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This article studies several Fractional Order Control algorithms used for joint control of a hexapod robot. Both Padé and series approximations to the fractional derivative are considered for the control algorithm. The walking performance is evaluated through two indices: The mean absolute density of energy used per unit distance travelled, and the control effort. A set of simulation experiments reveals the influence of the different approximations upon the proposed indices. The results show that the fractional proportional and derivative algorithm, implemented using the Padé approximation with a small number of terms, gives the best results.

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The development of fractional-order controllers is currently one of the most promising fields of research. However, most of the work in this area addresses the case of linear systems. This paper reports on the analysis of fractional-order control of nonlinear systems. The performance of discrete fractional-order PID controllers in the presence of several nonlinearities is discussed. Some results are provided that indicate the superior robustness of such algorithms.

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In this paper a modified version of the classical Van der Pol oscillator is proposed, introducing fractional-order time derivatives into the state-space model. The resulting fractional-order Van der Pol oscillator is analyzed in the time and frequency domains, using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator.

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The Maxwell equations constitute a formalism for the development of models describing electromagnetic phenomena. The four Maxwell laws have been adopted successfully in many applications and involve only the integer order differential calculus. Recently, a closer look for the cases of transmission lines, electrical motors and transformers, that reveal the so-called skin effect, motivated a new perspective towards the replacement of classical models by fractional-order mathematical descriptions. Bearing these facts in mind this paper addresses the concept of static fractional electric potential. The fractional potential was suggested some years ago. However, the idea was not fully explored and practical methods of implementation were not proposed. In this line of thought, this paper develops a new approximation algorithm for establishing the fractional order electrical potential and analyzes its characteristics.