Linear-quadratic optimal control of descriptor systems

In recent years the analysis and synthesis of (mechanical) control systems in descriptor form has been established. This general description of dynamical systems is important for many applications in mechanics and mechatronics, in electrical and electronic engineering, and in chemical engineering as well. This contribution deals with linear mechanical descriptor systems and its control design with respect to a quadratic performance criterion. Here, the notion of properness plays an important role whether the standard Riccati approach can be applied as usual or not. Properness and non-properness distinguish between the cases if the descriptor system is exclusively governed by the control input or by its higher-order time-derivatives additionally. In the unusual case of non-proper systems a quite different problem of optimal control design has to be considered. Both cases will be solved completely.

Foresight of physical-chemical characteristics of apple juice blends appointed to sparkling drink elaboration

The purpose of this research was to combine the use of the component blend design to the response surface methodology, in order to foresee the effect of ternary apple juice blends (Catarina, Granny Smith and Pink Lady cultivars) on the physical-chemical characteristics of musts appointed to sparkling drink elaboration. Twelve mixes were made (three individual samples, three binary mixes and six ternary mixes), analyzed on the content of total reducing sugars, total titratable acidity and phenolic compounds; and adjusted, respectively, to the linear, quadratic and special cubic models. The results were organized in ternary charts of surface response and, from the overlap of these charts, it was determined a viable region which delimited the range of apple juice compositions that make musts physically and chemically suitable to sparkling drink elaboration. To represent the various possible combinations, the central point of the triangular area of the viable region was calculated and, this point, which represents the proportions of 23.22% of Catarina, 66.23% of Granny Smith and 10.55% of Pink Lady cultivars, was chosen to constitute the formulation of the must to be used in the elaboration of apple sparkling drinks.

Elaboration of biscuits with oatmeal and fat palm with added L-leucine and calcium for sarcopenia

The objective of this study was to evaluate the effect of the addition of oatmeal and palm fat in the elaboration of biscuits with added L-leucine and calcium in order to develop a product for sarcopenia in the elderly. The biscuits, or cookies, were elaborated applying a central composite rotational design with surface response methodology, and the significant linear, quadratic and interaction terms were used in the second order mathematical model. Physical, physicochemical and sensory analyses were performed by a trained panel. Based on the best results obtained, three cookie formulations were selected for sensory evaluation by the target group and physicochemical determinations. The formulations with the highest sensory scores for appearance and texture and medium scores for color and expansion index were selected. The addition of calcium and leucine increased significantly the concentration of these components in the biscuits elaborated resulting in a cookie with more than 30% of DRI (Dietary Reference Intake) for calcium and leucine. The formulations selected showed high acceptance by the target group; therefore, they can be included in the diet of elderly with sarcopenia as a functional food.

Simulation of Steady-State Nonlinear Heat Transfer Problems Through the Minimization of Quadratic Functionals

In this work it is presented a systematic procedure for constructing the solution of a large class of nonlinear conduction heat transfer problems through the minimization of quadratic functionals like the ones usually employed for linear descriptions. The proposed procedure gives rise to an efficient and easy way for carrying out numerical simulations of nonlinear heat transfer problems by means of finite elements. To illustrate the procedure a particular problem is simulated by means of a finite element approximation.

Control of Structures with Cubic and Quadratic Non-Linearities with Time Delay Consideration

This paper studies the effect of time delay on the active non-linear control of dynamically loaded flexible structures. The behavior of non-linear systems under state feedback control, considering a fixed time delay for the control force, is investigated. A control method based on non-linear optimal control, using a tensorial formulation and state feedback control is used. The state equations and the control forces are expressed in polynomial form and a performance index, quadratic in both state vector and control forces, is used. General polynomial representations of the non-linear control law are obtained and implemented for control algorithms up to the fifth order. This methodology is applied to systems with quadratic and cubic non-linearities. Strongly non-linear systems are tested and the effectiveness of the control system including a delay for the application of control forces is discussed. Numerical results indicate that the adopted control algorithm can be efficient for non-linear systems, chiefly in the presence of strong non-linearities but increasing time delay reduces the efficiency of the control system. Numerical results emphasize the importance of considering time delay in the project of active structural control systems.

On non-ideal and non-linear portal frame dynamics analysis using bogoliubov averaging method

We apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, with internal resonance 1:2, supporting a direct current motor with limited power. The non-ideal excitation is in primary resonance in the order of one-half with the second mode frequency. The results of the averaging method, plotted in time evolution curve and phase diagrams are compared to those obtained by numerically integrating of the original differential equations. The presence of the saturation phenomenon is verified by analytical procedures.

A dose-response curve for biodosimetry from a 6 MV electron linear accelerator

Biological dosimetry (biodosimetry) is based on the investigation of radiation-induced biological effects (biomarkers), mainly dicentric chromosomes, in order to correlate them with radiation dose. To interpret the dicentric score in terms of absorbed dose, a calibration curve is needed. Each curve should be constructed with respect to basic physical parameters, such as the type of ionizing radiation characterized by low or high linear energy transfer (LET) and dose rate. This study was designed to obtain dose calibration curves by scoring of dicentric chromosomes in peripheral blood lymphocytes irradiated in vitro with a 6 MV electron linear accelerator (Mevatron M, Siemens, USA). Two software programs, CABAS (Chromosomal Aberration Calculation Software) and Dose Estimate, were used to generate the curve. The two software programs are discussed; the results obtained were compared with each other and with other published low LET radiation curves. Both software programs resulted in identical linear and quadratic terms for the curve presented here, which was in good agreement with published curves for similar radiation quality and dose rates.

Testes para verificar a igualdade de parâmetros e a identidade de modelos de regressão não-linear em dados de experimento com delineamento em blocos casualizados

Considerou-se o ajustamento de equações de regressão não-linear e o teste da razão de verossimilhança, com aproximações pelas estatísticas qui-quadrado e F, para testar as hipóteses de igualdade de qualquer subconjunto de parâmetros e de identidade dos modelos para dados com repetições provenientes de experimento com delineamento em blocos completos casualizados. Concluiu-se que as duas aproximações podem ser utilizadas, mas a aproximação pela estatística F deve ser preferida, principalmente para pequenas amostras.

Atributos físicos de um Latossolo Vermelho correlacionados linear e espacialmente com a consorciação de guandu com milheto

O sistema cultivo mínimo, por possibilitar pouca movimentação de solo, menor número de operações agrícolas sem incorporação dos resíduos vegetais, apresenta vantagens em razão do menor custo de preparo e da redução das perdas de solo e água. No ano agrícola de 2006/2007, na Fazenda de Ensino e Pesquisa da Faculdade de Engenharia de Ilha Solteira, SP, Brasil - FEIS/UNESP, situada nas condições do Cerrado Brasileiro, objetivou-se analisar a produtividade de massa de matéria seca da consorciação de forragem (guandu+milheto) (MSF), em função de atributos físicos do solo, tais como resistência à penetração (RP), umidade gravimétrica (UG), umidade volumétrica (UV) e densidade do solo (DS) nas profundidades de 0,0-0,10 m; 0,10-0,20 m e 0,20-0,30 m. Para tanto, foi instalado um ensaio, contendo 117 pontos amostrais, em um Latossolo Vermelho distroférrico, sob pivô central, numa área experimental de 1600 m² sob cultivo mínimo. A análise estatística constou de análise descritiva inicial dos atributos e análise das correlações lineares simples entre eles, e, finalmente, de análise geoestatística. Do ponto de vista da correlação espacial, o atributo que mais bem explica a produtividade de massa de matéria seca da consorciação é a densidade do solo na camada de 0,20-0,30 m, com uma correlação inversa, indicando que as espécies se desenvolvem bem em solos adensados.

Effects of levels of potassium and nitrogen on yields and post-harvest conservation of onions in winter

Potassium and nitrogen are the elements present in the highest percentage in the onion dry matter. The objective of this experiment was to evaluate yield and post-harvest conservation of Vale Ouro IPA-11 onion cultivar regarding to nitrogen and potassium levels. The experiment was carried out in Petrolina-PE, Brazil, from June to September 2009. The experimental design was a completely randomized block in a 4 x 3 factorial design, composed of four nitrogen levels (0, 60, 120 and 180 kg ha-1) and three potassium levels (0, 90 and 180 kg ha-1) with three replications. The highest yield of commercial bulbs was achieved at an estimated N level of 172.6 kg ha-1. The lowest yield of noncommercial bulbs was estimated at N level of 147.0 kg ha-1. Lower percentage of smaller bulbs (class 2) were obtained by increasing levels of N x K, with a quadratic effect at the dose of 90 kg ha-1 K2O and minimum production point with 127.6 kg N ha-1 (20.3%). Regarding larger caliber bulbs (class 4), linear effects were found both in the absence and for the level of 90 kg ha-1 of K2O as levels of N were increased. When the highest level of 180 kg ha-1 K2O was applied, the level of 92.8 kg ha-1 of N was estimated as the one that would promote the highest bulb yield of this class (35.4%), and 5.3% was found in the lack of potassium fertilization.

Regressão linear com duplo truncamento na distribuição da variável dependente

Do problema do ajuste de uma regressão linear, quando a distribuição da variável dependente tem duplo truncamento, utilizando a função de máxima verossimilhança e um processo iterativo.

Análise multivariada: um exemplo usando modelo log-linear

Apresenta-se de forma resumida análise multivariada de dados categóricos, usando modelo log-linear para a situação de uma tabela de contingência 2 x 2 x 2.

Ordenação de populações em amplas classes de nível de saúde, segundo um indicador abrangente definido por uma função discriminante linear

Utilizando a função discriminante linear, propõe-se um indicador de nível de saúde abrangente de vários indicadores usuais, a saber: o coeficiente de mortalidade geral (CMG), indicador quantificado de Guedes (IG), esperança de vida ao nascer (EV), coeficiente de natalidade (CN), coeficiente de mortalidade infantil (CMI) e coeficiente de mortalidade por doenças transmissíveis (CMDT). Para a padronização dos dois últimos, foi proposta e utilizada uma população padrão mediana; para sua formação, cada grupo etário concorre com a mediana das percentagens de participação desse grupo na composição da população de cada um dos 44 países estudados. A análise crítica das equações de funções discriminantes obtidas com a técnica passo a 2895 2060 1000 passo ascendente (stepwise), mostrou que o valor: Z = 2895/CMI + 2060/CN + 1000/CMDTp, pode ser utilizado como indicador abrangente, permitindo a ordenação de países em amplas classes de nível de saúde.

Determinantes dos déficits ponderal e de crescimento linear de crianças menores de dois anos

OBJETIVO: Identificar os determinantes da desnutrição energético-protéica que ocasionam déficits ponderal e de crescimento linear em crianças. MÉTODOS: Estudo transversal envolvendo 1.041 crianças (menores de dois anos de idade) de 10 municípios do Estado da Bahia, de 1999 a 2000. Utilizou-se a técnica de regressão logística e estratégia da abordagem hierárquica para identificar os fatores associados ao estado antropométrico. RESULTADOS: O modelo final para déficit no crescimento linear revelou como determinante básico: a posse de dois ou menos equipamentos domésticos (OR=2,9; IC 95%: 1,74-4,90) e no nível subjacente, a ausência de consulta pré-natal (OR=2,7; IC 95%: 1,47-4,97); entre os determinantes imediatos o baixo peso ao nascer (<2.500 g) (OR=3,6; IC 95%: 1,72-7,70) e relato de hospitalização nos 12 meses anteriores à entrevista (OR=2,4; IC 95%: 1,42-4,10). Fatores determinantes no déficit ponderal nos níveis básico, subjacente e imediato foram, respectivamente: a renda mensal per capita inferior a ¼ do salário-mínimo (OR=3,4; IC 95%: 1,41-8,16), a ausência de pré-natal (OR=2,1; IC 95%: 1,03-4,35), e o baixo peso ao nascer (OR=4,8; IC 95%: 2,00-11,48). CONCLUSÕES: Os déficits ponderal e linear das crianças foram explicados pela intermediação entre as precárias condições materiais de vida e o restrito acesso ao cuidado com a saúde e a carga de morbidade. Intervenções que melhorem as condições de vida e ampliem o acesso às ações do serviço de saúde são estratégias que caminham na busca da eqüidade em saúde e nutrição na infância.