An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control

This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.

Análise de estabilidade e fundações de equipamentos de sinalização vertical rodoviária

O presente projeto foi realizado no âmbito da unidade curricular Dissertação/Estágio/Projeto, e desenvolve um estudo sobre as estruturas porticadas de sinalização vertical em Autoestradas, ao nível da estrutura metálica e das fundações, com o objetivo de analisar três casos diferentes com características distintas. Dois dos casos em estudo são modelos comuns que se encontram facilmente nas autoestradas. O terceiro tem uma configuração diferente, mais gravoso que o habitual. Com estes três casos obtém-se um estudo completo e abrangente deste tipo de estrutura porticada. Ao longo do projeto é seguida a norma EC3 (Eurocódigo 3 – Projeto de estruturas de aço). Dimensionaram-se as estruturas utilizando secções tubulares, mas é também realizado o dimensionamento de uma solução estrutural alternativa recorrendo a perfis laminados I ou H. As estruturas foram modeladas com recurso ao software de cálculo Autodesk Robot Structural Analysis Professional, obtendo-se os esforços e deformações nos vários pontos da estrutura, que permitem realizar o dimensionamento manual das secções dos perfis estruturais, chumbadouros, chapas de fundação e fundações propriamente ditas. Na parte final do projeto apresenta-se uma apreciação global do mesmo, conclusões gerais sobre os resultados obtidos e possíveis desenvolvimentos futuros.

Determination of polyphenols in wines by reaction with 4-aminoantipyrine and photometric flow-injection analysis

A new flow-injection analytical procedure is proposed for the determination of the total amount of polyphenols in wines; the method is based on the formation of a colored complex between 4-aminoantipyrine and phenols, in the presence of an oxidizing reagent. The oxidizing agents hexacyanoferrate(III), peroxodisulfate, and tetroxoiodate(VII) were tested. Batch trials were first performed to select appropriate oxidizing agents, pH, and concentration ratios of reagents, on the basis of their effect on the stability of the colored complex. Conditions selected as a result of these trials were implemented in a flow-injection analytical system in which the influence of injection volume, flow rate, and reaction- coil length, was evaluated. Under the optimum conditions the total amount of polyphenols, expressed as gallic acid, could be determined within a concentration range of 36 to 544 mg L–1, and with a sensitivity of 344 L mol–1 cm–1 and an RSD <1.1%. The reproducibility of analytical readings was indicative of standard deviations <2%. Interference from sugars, tartaric acid, ascorbic acid, methanol, ammonium sulfate, and potassium chloride was negligible. The proposed system was applied to the determination of total polyphenols in red wines, and enabled analysis of approximately 55 samples h–1. Results were usually precise and accurate; the RSD was <3.9% and relative errors, by the Folin–Ciocalteu method, <5.1%.