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.

BEM/FEM non-linear model applied to transient analysis with viscous damping

In this article a two-dimensional transient boundary element formulation based on the mass matrix approach is discussed. The implicit formulation of the method to deal with elastoplastic analysis is considered, as well as the way to deal with viscous damping effects. The time integration processes are based on the Newmark rhoand Houbolt methods, while the domain integrals for mass, elastoplastic and damping effects are carried out by the well known cell approximation technique. The boundary element algebraic relations are also coupled with finite element frame relations to solve stiffened domains. Some examples to illustrate the accuracy and efficiency of the proposed formulation are also presented.

Non-linear analysis of laminated metal matrix composites by an integrated micro/macro-mechanical model

The present paper describes an integrated micro/macro mechanical study of the elastic-viscoplastic behavior of unidirectional metal matrix composites (MMC). The micromechanical analysis of the elastic moduli is based on the Composites Cylinder Assemblage model (CCA) with comparisons also draw with a Representative Unit Cell (RUC) technique. These "homogenization" techniques are later incorporated into the Vanishing Fiber Diameter (VFD) model and a new formulation is proposed. The concept of a smeared element procedure is employed in conjunction with two different versions of the Bodner and Partom elastic-viscoplastic constitutive model for the associated macroscopic analysis. The formulations developed are also compared against experimental and analytical results available in the literature.

Heat Source Estimation with the Conjugate Gradient Method in Inverse Linear Diffusive Problems

In this work, we present the solution of a class of linear inverse heat conduction problems for the estimation of unknown heat source terms, with no prior information of the functional forms of timewise and spatial dependence of the source strength, using the conjugate gradient method with an adjoint problem. After describing the mathematical formulation of a general direct problem and the procedure for the solution of the inverse problem, we show applications to three transient heat transfer problems: a one-dimensional cylindrical problem; a two-dimensional cylindrical problem; and a one-dimensional problem with two plates.

Non-Linear Unsteady Aerodynamic Response Approximation Using Multi-Layer Functionals

Non-linear functional representation of the aerodynamic response provides a convenient mathematical model for motion-induced unsteady transonic aerodynamic loads response, that accounts for both complex non-linearities and time-history effects. A recent development, based on functional approximation theory, has established a novel functional form; namely, the multi-layer functional. For a large class of non-linear dynamic systems, such multi-layer functional representations can be realised via finite impulse response (FIR) neural networks. Identification of an appropriate FIR neural network model is facilitated by means of a supervised training process in which a limited sample of system input-output data sets is presented to the temporal neural network. The present work describes a procedure for the systematic identification of parameterised neural network models of motion-induced unsteady transonic aerodynamic loads response. The training process is based on a conventional genetic algorithm to optimise the network architecture, combined with a simplified random search algorithm to update weight and bias values. Application of the scheme to representative transonic aerodynamic loads response data for a bidimensional airfoil executing finite-amplitude motion in transonic flow is used to demonstrate the feasibility of the approach. The approach is shown to furnish a satisfactory generalisation property to different motion histories over a range of Mach numbers in the transonic regime.

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.

Otimização da aplicação de Fluazifop-P-Butil em pós-emergência na cultura de soja (Glycine max)

O objetivo deste trabalho foi avaliar a possibilidade de redução da dosagem e do volume de calda em função do horário de aplicação do herbicida fluazifop-p-butil em pós-emergência na cultura de soja, mantendo-se o controle das plantas daninhas e a seletividade para a cultura. O experimento foi conduzido na área experimental da Fazenda de Ensino e Pesquisa da FCAV/UNESP - Jaboticabal, no ano agrícola 1998/99, na cultura de soja, cultivar FT 2009. O delineamento experimental utilizado foi o de blocos ao acaso com 24 tratamentos, sendo 20 dispostos no esquema fatorial 2 x 2 x 5 e quatro testemunhas. Os fatores testados foram: volume de calda (100 e 200 L de calda/ha); dosagens reduzidas -75,2 e 112,8 g de fluazifop-p-butil/ha (respectivamente a 40 e 60% da dosagem recomendada); e horário de aplicação (5, 9, 13, 17 e 21 horas). As testemunhas foram aplicadas com a dosagem recomendada (188,0 g do fluazifop-p-butil/ha) e com os volumes de 100 e 200 L de calda/ha, no mato (sem controle das plantas daninhas) e "no limpo" (plantas daninhas controladas com enxada manual). As principais espécies de plantas daninhas que emergiram na área experimental foram capim-carrapicho (Cenchrus echinatus), que compunha 60% da comunidade infestante; capim-colchão (Digitaria horizontalis), 10%; e capim-pé-de-galinha (Eleusine indica), 30%. Todas as aplicações do herbicida fluazifop-p-butil, nos horários até as 9 horas e a partir das 17 horas, controlaram eficientemente as três espécies de plantas daninhas e foram seletivas para a cultura de soja. Portanto, o uso do herbicida fluazifop-p-butil pode ser otimizado por meio de reduções na dosagem e no volume de calda em aplicações durante os horários com condições ambientais favoráveis à pulverização.

Interferência de plantas concorrentes em arroz irrigado modificada por métodos culturais

A otimização de um programa de controle de plantas daninhas depende da previsão precoce e confiável do impacto destas sobre o rendimento da cultura. Este trabalho teve por objetivos avaliar os efeitos de cultivares e de arranjos de plantas na perda de rendimento de grãos em arroz irrigado e identificar a variável explicativa que proporcione melhor ajuste ao modelo testado. Foram conduzidos dois experimentos em campo, na estação estival de crescimento 2000/01. Os tratamentos constaram de três cultivares de arroz (BRS-38 Ligeirinho, IRGA 417 e BR-IRGA 409), dois espaçamentos entre linhas (15 e 25 cm) e populações (dez e seis níveis para o primeiro e segundo experimentos, respectivamente) do cultivar de arroz EEA 406, simulando infestação de arroz-vermelho. Os dados foram analisados utilizando-se o modelo de regressão não-linear da hipérbole retangular, ajustado de modo independente para os três fatores estudados. Os resultados do primeiro experimento foram utilizados para avaliar o ajuste dos dados ao modelo e os do segundo para validar o modelo obtido no primeiro experimento. O cultivar IRGA 417 apresentou maior habilidade competitiva com o cultivar simulador de arroz-vermelho do que os outros dois. A redução no espaçamento entre linhas aumentou a habilidade competitiva dos cultivares de arroz em relação ao cultivar concorrente. O modelo da hipérbole retangular foi apropriado para estimar perdas de rendimento de grãos de arroz irrigado por interferência de plantas concorrentes. A variável explicativa área foliar do cultivar EEA 406, em geral, apresentou equivalência à população de plantas como variável independente no modelo matemático testado.

Otimização da utilização de marcadores moleculares microssatélites e sua aplicação em estudos com plantas daninhas

Apesar de existirem marcadores moleculares mais específicos, os marcadores microssatélites apresentam grande potencialidade de utilização na área de plantas daninhas devido à sua crescente disponibilização em outras espécies e à qualidade das informações proporcionadas. O uso convencional dos marcadores moleculares microssatélites demanda grande quantidade de trabalho e recursos financeiros. O objetivo deste trabalho foi descrever a técnica da cauda fluorescente como forma de otimização da utilização de marcadores moleculares microssatélites, utilizando como exemplo um estudo de identificação de híbridos entre arroz-vermelho e cultivado. Foram utilizadas como modelo plantas de arroz cultivado, arroz-vermelho e o híbrido originado do cruzamento artificial dessas plantas. A técnica da cauda fluorescente consiste na síntese do iniciador forward com a sequência desejada e a adição da sequência de um iniciador universal, que corresponde à chamada cauda. A detecção da amplificação é realizada em equipamento de eletroforese capilar automatizada, através da utilização de um iniciador universal sintetizado com fluoróforo. O sistema desenvolvido foi eficiente na identificação da hibridização entre arroz cultivado e vermelho e apresenta viabilidade de utilização, por exemplo, em estudos de fluxo gênico da resistência a herbicidas e de caracteres relacionados à adaptação diferencial entre essas plantas. A técnica da cauda fluorescente possibilitou o uso de diversos marcadores moleculares a partir de um único marcador fluorescente e viabilizou a realização das análises em multiplex. O aumento da disponibilidade e do conhecimento de técnicas moleculares pode proporcionar melhor elucidação em vários estudos relacionados a espécies de plantas daninhas que possuem pouca disponibilidade de marcadores moleculares específicos.

Linear prediction in optical spectroscopy

A linear prediction procedure is one of the approved numerical methods of signal processing. In the field of optical spectroscopy it is used mainly for extrapolation known parts of an optical signal in order to obtain a longer one or deduce missing signal samples. The first is needed particularly when narrowing spectral lines for the purpose of spectral information extraction. In the present paper the coherent anti-Stokes Raman scattering (CARS) spectra were under investigation. The spectra were significantly distorted by the presence of nonlinear nonresonant background. In addition, line shapes were far from Gaussian/Lorentz profiles. To overcome these disadvantages the maximum entropy method (MEM) for phase spectrum retrieval was used. The obtained broad MEM spectra were further underwent the linear prediction analysis in order to be narrowed.

Using the best linear predictor (BLP) in the selection between and among half-sib progenies of the CMS-39 maize population

Data of corn ear production (kg/ha) of 196 half-sib progenies (HSP) of the maize population CMS-39 obtained from experiments carried out in four environments were used to adapt and assess the BLP method (best linear predictor) in comparison with to the selection among and within half-sib progenies (SAWHSP). The 196 HSP of the CMS-39 population developed by the National Center for Maize and Sorghum Research (CNPMS-EMBRAPA) were related through their pedigree with the recombined progenies of the previous selection cycle. The two methodologies used for the selection of the twenty best half-sib progenies, BLP and SAWHSP, led to similar expected genetic gains. There was a tendency in the BLP methodology to select a greater number of related progenies because of the previous generation (pedigree) than the other method. This implies that greater care with the effective size of the population must be taken with this method. The SAWHSP methodology was efficient in isolating the additive genetic variance component from the phenotypic component. The pedigree system, although unnecessary for the routine use of the SAWHSP methodology, allowed the prediction of an increase in the inbreeding of the population in the long term SAWHSP selection when recombination is simultaneous to creation of new progenies.

Linear competitive inhibition of human tissue kallikrein by 4-aminobenzamidine and benzamidine and linear mixed inhibition by 4-nitroaniline and aniline

Hydrolysis of D-valyl-L-leucyl-L-arginine p-nitroanilide (7.5-90.0 µM) by human tissue kallikrein (hK1) (4.58-5.27 nM) at pH 9.0 and 37ºC was studied in the absence and in the presence of increasing concentrations of 4-aminobenzamidine (96-576 µM), benzamidine (1.27-7.62 mM), 4-nitroaniline (16.5-66 µM) and aniline (20-50 mM). The kinetic parameters determined in the absence of inhibitors were: Km = 12.0 ± 0.8 µM and k cat = 48.4 ± 1.0 min-1. The data indicate that the inhibition of hK1 by 4-aminobenzamidine and benzamidine is linear competitive, while the inhibition by 4-nitroaniline and aniline is linear mixed, with the inhibitor being able to bind both to the free enzyme with a dissociation constant Ki yielding an EI complex, and to the ES complex with a dissociation constant Ki', yielding an ESI complex. The calculated Ki values for 4-aminobenzamidine, benzamidine, 4-nitroaniline and aniline were 146 ± 10, 1,098 ± 91, 38.6 ± 5.2 and 37,340 ± 5,400 µM, respectively. The calculated Ki' values for 4-nitroaniline and aniline were 289.3 ± 92.8 and 310,500 ± 38,600 µM, respectively. The fact that Ki'>Ki indicates that 4-nitroaniline and aniline bind to a second binding site in the enzyme with lower affinity than they bind to the active site. The data about the inhibition of hK1 by 4-aminobenzamidine and benzamidine help to explain previous observations that esters, anilides or chloromethyl ketone derivatives of Nalpha-substituted arginine are more sensitive substrates or inhibitors of hK1 than the corresponding lysine compounds.

Comparison of Different Concentrated Solar Power Collector Designs and Development of a Linear Fresnel Solar Collector Model

Concentrated solar power (CSP) is a renewable energy technology, which could contribute to overcoming global problems related to pollution emissions and increasing energy demand. CSP utilizes solar irradiation, which is a variable source of energy. In order to utilize CSP technology in energy production and reliably operate a solar field including thermal energy storage system, dynamic simulation tools are needed in order to study the dynamics of the solar field, to optimize production and develop control systems. The object of this Master’s Thesis is to compare different concentrated solar power technologies and configure a dynamic solar field model of one selected CSP field design in the dynamic simulation program Apros, owned by VTT and Fortum. The configured model is based on German Novatec Solar’s linear Fresnel reflector design. Solar collector components including dimensions and performance calculation were developed, as well as a simple solar field control system. The preliminary simulation results of two simulation cases under clear sky conditions were good; the desired and stable superheated steam conditions were maintained in both cases, while, as expected, the amount of steam produced was reduced in the case having lower irradiation conditions. As a result of the model development process, it can be concluded, that the configured model is working successfully and that Apros is a very capable and flexible tool for configuring new solar field models and control systems and simulating solar field dynamic behaviour.

Linear and nonlinear analysis of heart rate variability in healthy subjects and after acute myocardial infarction in patients

The objectives of this study were to evaluate and compare the use of linear and nonlinear methods for analysis of heart rate variability (HRV) in healthy subjects and in patients after acute myocardial infarction (AMI). Heart rate (HR) was recorded for 15 min in the supine position in 10 patients with AMI taking β-blockers (aged 57 ± 9 years) and in 11 healthy subjects (aged 53 ± 4 years). HRV was analyzed in the time domain (RMSSD and RMSM), the frequency domain using low- and high-frequency bands in normalized units (nu; LFnu and HFnu) and the LF/HF ratio and approximate entropy (ApEn) were determined. There was a correlation (P < 0.05) of RMSSD, RMSM, LFnu, HFnu, and the LF/HF ratio index with the ApEn of the AMI group on the 2nd (r = 0.87, 0.65, 0.72, 0.72, and 0.64) and 7th day (r = 0.88, 0.70, 0.69, 0.69, and 0.87) and of the healthy group (r = 0.63, 0.71, 0.63, 0.63, and 0.74), respectively. The median HRV indexes of the AMI group on the 2nd and 7th day differed from the healthy group (P < 0.05): RMSSD = 10.37, 19.95, 24.81; RMSM = 23.47, 31.96, 43.79; LFnu = 0.79, 0.79, 0.62; HFnu = 0.20, 0.20, 0.37; LF/HF ratio = 3.87, 3.94, 1.65; ApEn = 1.01, 1.24, 1.31, respectively. There was agreement between the methods, suggesting that these have the same power to evaluate autonomic modulation of HR in both AMI patients and healthy subjects. AMI contributed to a reduction in cardiac signal irregularity, higher sympathetic modulation and lower vagal modulation.