907 resultados para Nonlinear system modeling


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Yhtenäistetty mallinnuskieli, Unified Modeling Language (UML), on saavuttanut ohjelmistoteollisuudessa defacto standardin mallinnuskielen aseman. UML:n pääasiallinen käyttökohde on ollut ohjelmistojärjestelmien mallinnus, mutta sitä on sovellettu myös muillakin ongelma-alueilla, kuten erilaisten prosessien mallinnuksessa. Tässä diplomityössä mallinnetaan eräs betoniaseman ohjausjärjestelmä käyttäen UML:ää. Työssä perehdytään alan kirjallisuuden avulla siihen, miten teollisuus on hyödyntänyt UML:ää prosessien ohjausjärjestelmien mallinnuksessa. Kirjallisuudesta saatua tietoa sovelletaan betoniaseman ohjausjärjestelmän mallinnuksessa. Luotua mallia analysoidaan sen oikeellisuuden ja käytettävyyden perusteella. Työssä havaittiin, että UML soveltuu hyvin betoniaseman ohjausjärjestelmän kaltaisen teollisuusprosessin ohjauksen mallinnukseen. UML-mallilla voidaan kuvata järjestelmän rakenne ja toiminta kattavasti. Luotua mallia voidaan hyödyntää suoraan ohjausjärjestelmän jatkokehityksessä. Julkista tutkimustietoa aiheesta on kuitenkin niukasti saatavilla, joten lisätarve julkiselle tutkimukselle on olemassa.

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En l’exercici de les funcions típiques de qualsevol activitat humana, l’home ha de prendre decisions d’un o altre tipus permanentment i aquesta situació porta afegit, per lo general risc i incertesa, el que compromet la qualitat i l’èxit de la decisió. Per ajudar i contrarestar aquesta situació, l’home ha desenvolupat a través del temps una diversitat d’eines que li permeten minimitzar el risc i la incertesa en la presa de decisions. La simulació és una d’aquestes eines. Mitjançant la seva aplicació no només s’aconsegueix la comesa anterior, sinó que també es minimitzen els costos involucrats en la decisió mitjançant un millor ús dels recursos, la disminució del temps emprat per a la seva realització i la minimització de les probabilitats de risc. Aquest projecte representa la continuació d’un primer estudi introductori de la simulació anomenat: Estudi i guia docent per a modelatge i simulació de sistemes mitjançant l’entorn ARENA [9]. Realitzat per l’alumna d’Enginyeria en Organització Industrial de la Universitat de Vic, Montse Carbonell Crosas, l’any 2008 i sota la codirecció del director d’aquest segon projecte, el professor Juli Ordeix Rigo. Aquest nou projecte s’inicia amb una primera part teòrica, continguda dins del primer volum, la qual reforça els conceptes teòrics referents a la simulació amb ARENA, ja vistos en l’anterior projecte. Complementant aquells considerats bàsics i els de més utilitat i finalitza introduint nous conceptes avançats. Els nous capítols de temàtica avançada, junt als primers més bàsics de la primera part són exercitats dins de la segona, formant el segon volum d’aquest projecte. El mateix requereix la participació activa de l’alumne, per tal de realitzar cadascun dels 89 exercicis pràctics que es plantegen i poder onsolidar l’aprenentatge teòric d’aquesta eina avançada de simulació fent consultes als apartats teòrics recomanats dins de cada exercici. La complexitat dels exercicis anirà augmentant gradualment i s’insisteix en seguir la metodologia presentada en el projecte per a realitzar-los tots de forma ordenada i ascendent. L’ alumne quan acabi la part pràctica, haurà consolidat tota la part teòrica i serà capaç d’exercir com analista per tal de generar els seus propis projecte de simulació.

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Tämän diplomityön tavoitteena on selkeyttää apteekin ydinprosesseja mallintamalla prosessit ja tehostaa apteekin tiedonhallintaa sähköisen toimintajärjestelmän avulla. Ydinprosessien mallintaminen lisää apteekin työntekijöiden tietoisuutta prosessien oikeasta suoritustavasta. Dokumenttien sijoittaminen yhteen paikkaan helpottaa niiden löytymistä ja käytettävyyttä. Tässä työssä tutkittiin yhtä yritystä, joten tutkimusmenetelmänä käytettiin tapaustutkimusta. Työn keskeinen sisältö rakentuu tiedonhallinnan, prosessijohtamisen sekä sähköisen toimintajärjestelmän teorioiden pohjalta. Teoriaa hyödynnetään käytännön tutkimuksessa, jossa kartoitetaan apteekin dokumentit ja kehitetään niiden organisointia. Työssä tunnistetaan ja mallinnetaan apteekin ydinprosessit sekä kerätään tietoa niiden ongelmakohdista. Apteekin ydinprosesseiksi tunnistettiin reseptiasiakkaan palvelu ja neuvonta, itsehoitoasiakkaan palvelu ja neuvonta, kotisairaanhoidon ja hoivakotien palvelu sekä tavaranhallinta. Apteekissa luodut dokumentit luokiteltiin toimintaohjeiksi, työohjeiksi, lomakkeiksi ja rekisteriselosteiksi. Työn tuloksena apteekin tiedonhallinta tehostui dokumenttien sähköistämisellä ja organisoinnilla toimintajärjestelmään. Ydinprosessien mallintaminen selkeytti apteekin ydinprosesseja sekä lisäsi työntekijöiden tietoisuutta prosessien oikeasta toimintatavasta.

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Nonlinear time series analysis is employed to study the complex behaviour exhibited by a coupled pair of Rossler systems. Dimensional analysis with emphasis on the topological correlation dimension and the Kolmogorov entropy of the system is carried out in the coupling parameter space. The regime of phase synchronization is identified and the extent of synchronization between the systems constituting the coupled system is quantified by the phase synchronization index. The effect of noise on the coupling between the systems is also investigated. An exhaustive study of the topological, dynamical and synchronization properties of the nonlinear system under consideration in its characteristic parameter space is attempted.

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In der algebraischen Kryptoanalyse werden moderne Kryptosysteme als polynomielle, nichtlineare Gleichungssysteme dargestellt. Das Lösen solcher Gleichungssysteme ist NP-hart. Es gibt also keinen Algorithmus, der in polynomieller Zeit ein beliebiges nichtlineares Gleichungssystem löst. Dennoch kann man aus modernen Kryptosystemen Gleichungssysteme mit viel Struktur generieren. So sind diese Gleichungssysteme bei geeigneter Modellierung quadratisch und dünn besetzt, damit nicht beliebig. Dafür gibt es spezielle Algorithmen, die eine Lösung solcher Gleichungssysteme finden. Ein Beispiel dafür ist der ElimLin-Algorithmus, der mit Hilfe von linearen Gleichungen das Gleichungssystem iterativ vereinfacht. In der Dissertation wird auf Basis dieses Algorithmus ein neuer Solver für quadratische, dünn besetzte Gleichungssysteme vorgestellt und damit zwei symmetrische Kryptosysteme angegriffen. Dabei sind die Techniken zur Modellierung der Chiffren von entscheidender Bedeutung, so das neue Techniken entwickelt werden, um Kryptosysteme darzustellen. Die Idee für das Modell kommt von Cube-Angriffen. Diese Angriffe sind besonders wirksam gegen Stromchiffren. In der Arbeit werden unterschiedliche Varianten klassifiziert und mögliche Erweiterungen vorgestellt. Das entstandene Modell hingegen, lässt sich auch erfolgreich auf Blockchiffren und auch auf andere Szenarien erweitern. Bei diesen Änderungen muss das Modell nur geringfügig geändert werden.

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Methods are developed for predicting vibration response characteristics of systems which change configuration during operation. A cartesian robot, an example of such a position-dependent system, served as a test case for these methods and was studied in detail. The chosen system model was formulated using the technique of Component Mode Synthesis (CMS). The model assumes that he system is slowly varying, and connects the carriages to each other and to the robot structure at the slowly varying connection points. The modal data required for each component is obtained experimentally in order to get a realistic model. The analysis results in prediction of vibrations that are produced by the inertia forces as well as gravity and friction forces which arise when the robot carriages move with some prescribed motion. Computer simulations and experimental determinations are conducted in order to calculate the vibrations at the robot end-effector. Comparisons are shown to validate the model in two ways: for fixed configuration the mode shapes and natural frequencies are examined, and then for changing configuration the residual vibration at the end of the mode is evaluated. A preliminary study was done on a geometrically nonlinear system which also has position-dependency. The system consisted of a flexible four-bar linkage with elastic input and output shafts. The behavior of the rocker-beam is analyzed for different boundary conditions to show how some limiting cases are obtained. A dimensional analysis leads to an evaluation of the consequences of dynamic similarity on the resulting vibration.

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This paper presents a hybrid control strategy integrating dynamic neural networks and feedback linearization into a predictive control scheme. Feedback linearization is an important nonlinear control technique which transforms a nonlinear system into a linear system using nonlinear transformations and a model of the plant. In this work, empirical models based on dynamic neural networks have been employed. Dynamic neural networks are mathematical structures described by differential equations, which can be trained to approximate general nonlinear systems. A case study based on a mixing process is presented.

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Boolean input systems are in common used in the electric industry. Power supplies include such systems and the power converter represents these. For instance, in power electronics, the control variable are the switching ON and OFF of components as thyristors or transistors. The purpose of this paper is to use neural network (NN) to control continuous systems with Boolean inputs. This method is based on classification of system variations associated with input configurations. The classical supervised backpropagation algorithm is used to train the networks. The training of the artificial neural network and the control of Boolean input systems are presented. The design procedure of control systems is implemented on a nonlinear system. We apply those results to control an electrical system composed of an induction machine and its power converter.

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A fundamental principle in practical nonlinear data modeling is the parsimonious principle of constructing the minimal model that explains the training data well. Leave-one-out (LOO) cross validation is often used to estimate generalization errors by choosing amongst different network architectures (M. Stone, "Cross validatory choice and assessment of statistical predictions", J. R. Stast. Soc., Ser. B, 36, pp. 117-147, 1974). Based upon the minimization of LOO criteria of either the mean squares of LOO errors or the LOO misclassification rate respectively, we present two backward elimination algorithms as model post-processing procedures for regression and classification problems. The proposed backward elimination procedures exploit an orthogonalization procedure to enable the orthogonality between the subspace as spanned by the pruned model and the deleted regressor. Subsequently, it is shown that the LOO criteria used in both algorithms can be calculated via some analytic recursive formula, as derived in this contribution, without actually splitting the estimation data set so as to reduce computational expense. Compared to most other model construction methods, the proposed algorithms are advantageous in several aspects; (i) There are no tuning parameters to be optimized through an extra validation data set; (ii) The procedure is fully automatic without an additional stopping criteria; and (iii) The model structure selection is directly based on model generalization performance. The illustrative examples on regression and classification are used to demonstrate that the proposed algorithms are viable post-processing methods to prune a model to gain extra sparsity and improved generalization.

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This paper illustrates how internal model control of nonlinear processes can be achieved by recurrent neural networks, e.g. fully connected Hopfield networks. It is shown that using results developed by Kambhampati et al. (1995), that once a recurrent network model of a nonlinear system has been produced, a controller can be produced which consists of the network comprising the inverse of the model and a filter. Thus, the network providing control for the nonlinear system does not require any training after it has been trained to model the nonlinear system. Stability and other issues of importance for nonlinear control systems are also discussed.

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In practice, all I/Q signal processing receivers face the problem of I/Q imbalance. In this paper, we investigate the effect of I/Q imbalance on the performance of MIMO maximal ratio combining (MRC) systems that perform the combining at the radio frequency (RF) level, thereby requiring only one RF chain. Based on a system modeling that takes the I/Q imbalance into account, we evaluate the performance in terms of average symbol error probability (SEP), outage probability and system capacity, which are derived considering transmission over uncorrelated Rayleigh fading channels. Numerical results are provided to illustrate the effects of system parameters, such as the image- leakage ratio, numbers of transmit and receive antennas, and modulation order of quadrature amplitude modulation (QAM), on the system performance.

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A recent nonlinear system by Friston et al. (2000. NeuroImage 12: 466–477) links the changes in BOLD response to changes in neural activity. The system consists of five subsystems, linking: (1) neural activity to flow changes; (2) flow changes to oxygen delivery to tissue; (3) flow changes to changes in blood volume and venous outflow; (4) changes in flow, volume, and oxygen extraction fraction to deoxyhemoglobin changes; and finally (5) volume and deoxyhemoglobin changes to the BOLD response. Friston et al. exploit, in subsystem 2, a model by Buxton and Frank coupling flow changes to changes in oxygen metabolism which assumes tissue oxygen concentration to be close to zero. We describe below a model of the coupling between flow and oxygen delivery which takes into account the modulatory effect of changes in tissue oxygen concentration. The major development has been to extend the original Buxton and Frank model for oxygen transport to a full dynamic capillary model making the model applicable to both transient and steady state conditions. Furthermore our modification enables us to determine the time series of CMRO2 changes under different conditions, including CO2 challenges. We compare the differences in the performance of the “Friston system” using the original model of Buxton and Frank and that of our model. We also compare the data predicted by our model (with appropriate parameters) to data from a series of OIS studies. The qualitative differences in the behaviour of the models are exposed by different experimental simulations and by comparison with the results of OIS data from brief and extended stimulation protocols and from experiments using hypercapnia.

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We test the expectations theory of the term structure of U.S. interest rates in nonlinear systems. These models allow the response of the change in short rates to past values of the spread to depend upon the level of the spread. The nonlinear system is tested against a linear system, and the results of testing the expectations theory in both models are contrasted. We find that the results of tests of the implications of the expectations theory depend on the size and sign of the spread. The long maturity spread predicts future changes of the short rate only when it is high.

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Wave solutions to a mechanochemical model for cytoskeletal activity are studied and the results applied to the waves of chemical and mechanical activity that sweep over an egg shortly after fertilization. The model takes into account the calcium-controlled presence of actively contractile units in the cytoplasm, and consists of a viscoelastic force equilibrium equation and a conservation equation for calcium. Using piecewise linear caricatures, we obtain analytic solutions for travelling waves on a strip and demonstrate uiat the full nonlinear system behaves as predicted by the analytic solutions. The equations are solved on a sphere and the numerical results are similar to the analytic solutions. We indicate how the speed of the waves can be used as a diagnostic tool with which the chemical reactivity of the egg surface can be measured.

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In this article we address decomposition strategies especially tailored to perform strong coupling of dimensionally heterogeneous models, under the hypothesis that one wants to solve each submodel separately and implement the interaction between subdomains by boundary conditions alone. The novel methodology takes full advantage of the small number of interface unknowns in this kind of problems. Existing algorithms can be viewed as variants of the `natural` staggered algorithm in which each domain transfers function values to the other, and receives fluxes (or forces), and vice versa. This natural algorithm is known as Dirichlet-to-Neumann in the Domain Decomposition literature. Essentially, we propose a framework in which this algorithm is equivalent to applying Gauss-Seidel iterations to a suitably defined (linear or nonlinear) system of equations. It is then immediate to switch to other iterative solvers such as GMRES or other Krylov-based method. which we assess through numerical experiments showing the significant gain that can be achieved. indeed. the benefit is that an extremely flexible, automatic coupling strategy can be developed, which in addition leads to iterative procedures that are parameter-free and rapidly converging. Further, in linear problems they have the finite termination property. Copyright (C) 2009 John Wiley & Sons, Ltd.