Analysis of self-interference within DAG tasks

6th Real-Time Scheduling Open Problems Seminar (RTSOPS 2015), Lund, Sweden.

A Review of Operational Matrices and Spectral Techniques for Fractional Calculus

Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.

An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index

The shifted Legendre orthogonal polynomials are used for the numerical solution of a new formulation for the multi-dimensional fractional optimal control problem (M-DFOCP) with a quadratic performance index. The fractional derivatives are described in the Caputo sense. The Lagrange multiplier method for the constrained extremum and the operational matrix of fractional integrals are used together with the help of the properties of the shifted Legendre orthonormal polynomials. The method reduces the M-DFOCP to a simpler problem that consists of solving a system of algebraic equations. For confirming the efficiency and accuracy of the proposed scheme, some test problems are implemented with their approximate solutions.

A framework for using real data with distributed low cost sensors

Currently, due to the widespread use of computers and the internet, students are trading libraries for the World Wide Web and laboratories with simulation programs. In most courses, simulators are made available to students and can be used to proof theoretical results or to test a developing hardware/product. Although this is an interesting solution: low cost, easy and fast way to perform some courses work, it has indeed major disadvantages. As everything is currently being done with/in a computer, the students are loosing the “feel” of the real values of the magnitudes. For instance in engineering studies, and mainly in the first years, students need to learn electronics, algorithmic, mathematics and physics. All of these areas can use numerical analysis software, simulation software or spreadsheets and in the majority of the cases data used is either simulated or random numbers, but real data could be used instead. For example, if a course uses numerical analysis software and needs a dataset, the students can learn to manipulate arrays. Also, when using the spreadsheets to build graphics, instead of using a random table, students could use a real dataset based, for instance, in the room temperature and its variation across the day. In this work we present a framework which uses a simple interface allowing it to be used by different courses where the computers are the teaching/learning process in order to give a more realistic feeling to students by using real data. A framework is proposed based on a set of low cost sensors for different physical magnitudes, e.g. temperature, light, wind speed, which are connected to a central server, that the students have access with an Ethernet protocol or are connected directly to the student computer/laptop. These sensors use the communication ports available such as: serial ports, parallel ports, Ethernet or Universal Serial Bus (USB). Since a central server is used, the students are encouraged to use sensor values results in their different courses and consequently in different types of software such as: numerical analysis tools, spreadsheets or simply inside any programming language when a dataset is needed. In order to do this, small pieces of hardware were developed containing at least one sensor using different types of computer communication. As long as the sensors are attached in a server connected to the internet, these tools can also be shared between different schools. This allows sensors that aren't available in a determined school to be used by getting the values from other places that are sharing them. Another remark is that students in the more advanced years and (theoretically) more know how, can use the courses that have some affinities with electronic development to build new sensor pieces and expand the framework further. The final solution provided is very interesting, low cost, simple to develop, allowing flexibility of resources by using the same materials in several courses bringing real world data into the students computer works.

Dimensionamento de lajes aligeiradas betonadas "in situ"

A conjuntura económica da construção não se encontra numa fase de prosperidade, existindo a necessidade de criar soluções construtivas que permitam a redução de custos dos materiais a nível de obra. As lajes de betão armado, devido à sua grande área de implantação, possuem uma parcela importante no orçamento final de qualquer obra de edifícios correntes. Sabendo das possibilidades de aligeiramento de lajes, torna-se necessária a realização de um estudo pormenorizado e comparativo entre soluções de aligeiramento. O desenvolvimento deste relatório reflete todo o trabalho efetuado durante a realização de um estágio curricular desenvolvido na empresa FercaNorte – Estruturas, Lajes e Cofragens, Lda. e foca-se num dimensionamento e estudo comparativo de soluções de lajes fungiformes aligeiradas, aplicadas a dois casos de estudo e também num dimensionamento e estudo comparativo de soluções de lajes aligeiradas unidirecionais mas apenas aplicadas a um caso de estudo. No primeiro caso de estudo, laje fungiforme com um vão de 6 metros nas duas direções, são dimensionadas e comparadas quatro soluções: laje fungiforme maciça; laje fungiforme aligeirada com blocos elipsoides perdidos dispostos de forma ortogonal e envolvidos totalmente por betão; laje fungiforme aligeirada com blocos elipsoides perdidos dispostos em formato de favo de mel e envolvidos totalmente por betão; e laje fungiforme nervurada com moldes recuperáveis. No segundo caso de estudo, laje fungiforme com um vão de 7,04 metros nas duas direções, são dimensionadas e comparadas cinco soluções: laje fungiforme maciça, laje fungiforme aligeirada com blocos cúbicos perdidos dispostos de forma ortogonal e envolvidos totalmente por betão; laje fungiforme aligeirada, com blocos elipsoides perdidos dispostos de forma ortogonal e envolvidos totalmente por betão; laje fungiforme aligeirada com blocos elipsoides perdidos dispostos em formato de favo de mel e envolvidos totalmente por betão; e laje fungiforme nervurada com moldes recuperáveis. No terceiro caso de estudo, laje unidirecional com um vão de 8 metros apoiada em vigas com vão de 5 metros, são dimensionadas e comparadas três soluções: laje maciça; laje aligeirada com perfis tubulares com secção transversal reta oval; e laje nervurada com moldes recuperáveis. No final é apresentada uma estimativa orçamental para cada solução analisada nos três casos de estudo abordados.

Conceção de um tutorial de Iniciação ao co-projeto de Hardware/software

A crescente evolução dos dispositivos contendo circuitos integrados, em especial os FPGAs (Field Programmable Logic Arrays) e atualmente os System on a chip (SoCs) baseados em FPGAs, juntamente com a evolução das ferramentas, tem deixado um espaço entre o lançamento e a produção de materiais didáticos que auxiliem os engenheiros no Co- Projecto de hardware/software a partir dessas tecnologias. Com o intuito de auxiliar na redução desse intervalo temporal, o presente trabalho apresenta o desenvolvimento de documentos (tutoriais) direcionados a duas tecnologias recentes: a ferramenta de desenvolvimento de hardware/software VIVADO; e o SoC Zynq-7000, Z-7010, ambos desenvolvidos pela Xilinx. Os documentos produzidos são baseados num projeto básico totalmente implementado em lógica programável e do mesmo projeto implementado através do processador programável embarcado, para que seja possível avaliar o fluxo de projeto da ferramenta para um projeto totalmente implementado em hardware e o fluxo de projeto para o mesmo projeto implementado numa estrutura de harware/software.