• Title/Summary/Keyword: discrete modelling

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Online Fuzzy Modelling of Nonlinear Systems Using a Genetic Algorithm (유전알고리즘을 이용한 비선형 시스템의 온라인 퍼지 모델링)

  • 이현식;오정환;신위재;김종화;진강규
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.80-87
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    • 1998
  • This paper presents and online scheme for fuzzy modelling of nonlinear systems, based on the model adjustment technique and the genetic algorithm technique. The fuzzy model is characterized by fuzzy "if-then" rules which represent locally linear input-output relations whose consequence parts are defined as subsystems of a nonlinear sysem. The discrete-time model for each subsystem is obtained to deal with initalization and unmeasurable signal problems in online estimation and the final output of the fuzzy model is computed from the outputs of the discrete-time models. Then, the parameters of both the premise and consequence parts of the fuzzy model are adjusted by a genetic algorithm. A set of simulation works is carried out to demonstrate the effectiveness of the proposed method.ed method.

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Modelling of the Electrochemical Performance of Functionally Graded Fuel Cell Electrodes by Discrete Simulations

  • Schneider, L.C.R.;Martin, C.L.;Bultel, Y.;Kapelski, G.;Bouvard, D.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09b
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    • pp.916-917
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    • 2006
  • Solid Oxide Fuel Cell technology uses powder processes to produce electrodes with residual porosity by partially sintering a mixture of electronically and ionically conducting particles. We model porous fuel cell electrodes with 3D packings of monosized spherical particles. These packings are created by numerical sintering. Each particle-particle contact is characteristic for an ionic, electronic or electrochemical resistance. The numerical packing is then discretized into a resistor network which is solved by using Kirchhoff's current law to evaluate the electrode's electrochemical performance. We investigate in particular percolation effects in functionally graded electrodes as compared to other types of electrodes.

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STABILIZED-PENALIZED COLLOCATED FINITE VOLUME SCHEME FOR INCOMPRESSIBLE BIOFLUID FLOWS

  • Kechkar, Nasserdine;Louaar, Mohammed
    • Journal of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.519-548
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    • 2022
  • In this paper, a stabilized-penalized collocated finite volume (SPCFV) scheme is developed and studied for the stationary generalized Navier-Stokes equations with mixed Dirichlet-traction boundary conditions modelling an incompressible biological fluid flow. This method is based on the lowest order approximation (piecewise constants) for both velocity and pressure unknowns. The stabilization-penalization is performed by adding discrete pressure terms to the approximate formulation. These simultaneously involve discrete jump pressures through the interior volume-boundaries and discrete pressures of volumes on the domain boundary. Stability, existence and uniqueness of discrete solutions are established. Moreover, a convergence analysis of the nonlinear solver is also provided. Numerical results from model tests are performed to demonstrate the stability, optimal convergence in the usual L2 and discrete H1 norms as well as robustness of the proposed scheme with respect to the choice of the given traction vector.

Modelling and Performance Evaluation of Packet Network by DEVS Simulation (DEVS 시뮬레이션을 이용한 패킷망의 모델링 및 성능분석)

  • 박상희
    • Journal of the Korea Society for Simulation
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    • v.3 no.1
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    • pp.75-88
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    • 1994
  • Discrete event modeling is finding ever more application to anlysis and design of complex manufacturing, communication, computer systems, etc. This paper shows how packet network systems may be advantageously represented as DEVS (Discrete Event System Specification) models by employing System Entity structure / Model base (SES/MB) framework developed by Zeigler. DEVS models and network structure representations support a strong basis for performance analysis of packet network systems. This approach is illustated in a typical packet network example with several routing strategies.

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Iterative learning control for a class of discrete-time nonlinear systems (이산시간 비선형 시스템에 대한 반복학습제어)

  • 안현식;최종호;김도현
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.836-841
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    • 1993
  • For a class of discrete-time nonlinear systems, an iterative learning control method is proposed and a sufficient condition is derived for the convergence of the output error. The proposed method is shown to be less sensitive to modelling errors and the uniform boundedness of the output error is guaranteed even in the presence of initial state errors. It is illustrated by simulations that the actual output converges to a desired output within the tolerance bound and convergence performance is improved by the presented method.

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A Study on the Control of Input/output Automata (입/출력 Automata의 제어에 관한 연구)

  • Moon, Hong-Ju;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.313-315
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    • 1993
  • This paper presents the control of input/output automata. The input/output automata provides an appropriate model for discrete event systems consisting of concurrently-operating components. Ramadge and Wonham's supervisor controller can be transformed into the controllter of input/output automata. Using input/output automata, the modelling can be more realistic and concurrent discrete event systems can be controlled easily.

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A Discrete Mathematical Model Applied to Genetic Regulation and Metabolic Networks

  • Asenjo, J.A.;Ramirez, P.;Rapaport, I.;Aracena, J.;Goles, E.;Andrews, B.A.
    • Journal of Microbiology and Biotechnology
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    • v.17 no.3
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    • pp.496-510
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    • 2007
  • This paper describes the use of a discrete mathematical model to represent the basic mechanisms of regulation of the bacteria E. coli in batch fermentation. The specific phenomena studied were the changes in metabolism and genetic regulation when the bacteria use three different carbon substrates (glucose, glycerol, and acetate). The model correctly predicts the behavior of E. coli vis-a-vis substrate mixtures. In a mixture of glucose, glycerol, and acetate, it prefers glucose, then glycerol, and finally acetate. The model included 67 nodes; 28 were genes, 20 enzymes, and 19 regulators/biochemical compounds. The model represents both the genetic regulation and metabolic networks in an integrated form, which is how they function biologically. This is one of the first attempts to include both of these networks in one model. Previously, discrete mathematical models were used only to describe genetic regulation networks. The study of the network dynamics generated 8 $(2^3)$ fixed points, one for each nutrient configuration (substrate mixture) in the medium. The fixed points of the discrete model reflect the phenotypes described. Gene expression and the patterns of the metabolic fluxes generated are described accurately. The activation of the gene regulation network depends basically on the presence of glucose and glycerol. The model predicts the behavior when mixed carbon sources are utilized as well as when there is no carbon source present. Fictitious jokers (Joker1, Joker2, and Repressor SdhC) had to be created to control 12 genes whose regulation mechanism is unknown, since glycerol and glucose do not act directly on the genes. The approach presented in this paper is particularly useful to investigate potential unknown gene regulation mechanisms; such a novel approach can also be used to describe other gene regulation situations such as the comparison between non-recombinant and recombinant yeast strain, producing recombinant proteins, presently under investigation in our group.

The Simulation of Myocardium Conduction System using DEVCS and Discrete Time CAM (DEVCS 및 Discrete Time CAM을 이용한 심근 전도 시스템의 시뮬레이션)

  • Kim, K.N.;Nam, G.K.;Son, K.S.;Lee, Y.W.;Jun, K.R.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.05
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    • pp.150-155
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    • 1997
  • Modelling and Simulation of the activation process for the myocardium is meaningful to understand special excitation conduction system in the heart and to study cardiac functions. In this paper, we propose two dimensional cellular automata model for the activation process of the myocardium and simulated by means of discrete time and discrete event algorithm. In the model, cells are classified into anatomically similar characteristic parts of heart; SA node, internodal tracks, AV node, His bundle, bundle branch and four layers of the ventricular muscle, each of which has a set of cells with preassigned properties, that is, activation time, refractory duration and conduction time between neighbor cell. Each cell in this model has state variables to represent the state of the cell and has some simple state transition rules to change values of state variables executed by state transition function. Simulation results are as follows. First, simulation of the normal and abnormal activation process for the myocardium has been done with discrete time and discrete event formalism. Next, we show that the simulation results of discrete time and discrete event cell space model is the same. Finally, we compare the simulation time of discrete event myocardium model with discrete time myocardium models and show that the discrete event myocardium model spends much less simulation time than discrete time myocardium model and conclude the discrete event simulation method Is excellent in the simulation time aspect if the interval deviation of event time is large.

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Continuous-time fuzzy modelling of nonlinear systems using genetic algorithms (유전알고리즘을 이용한 비선형시스템의 연속시간 퍼지모델링)

  • 이현식;진강규
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1473-1476
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    • 1997
  • This paper presents a scheme for continuous-time fuzzy modelling of nonlinear systems, based on the adjustment technique and the genetic algorithm technque. The fuzzy model is characterized by fuzzy "If-then" rules whcih represent locally linear input-output relations whose consequence part is defined as subsystem of a nonlinear system. To compute the final output and deal with the initialization and unmeasurable signal problems in on-line estimatio of the fuzzy model, a discrete-time model is obtaned. Then the parameters of both the premis and consequence of the fuzzy model are adjusted on-line by a genetic algorithm. A simulation work is carried out to demonstrate the effectiveness of the proposed method.ed method.

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Numerical simulation of masonry shear panels with distinct element approach

  • Zhuge, Y.;Hunt, S.
    • Structural Engineering and Mechanics
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    • v.15 no.4
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    • pp.477-493
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    • 2003
  • Masonry is not a simple material, the influence of mortar joints as a plane of weakness is a significant feature and this makes the numerical modelling of masonry very difficult especially when dynamic (seismic) analysis is involved. In order to develop a simple numerical model for masonry under earthquake load, an analytical model based on Distinct Element Method (DEM) is being developed. At the first stage, the model is applied to simulate the in-plane shear behaviour of an unreinforced masonry wall with and without opening where the testing results are available for comparison. In DEM, a solid is represented as an assembly of discrete blocks. Joints are modelled as interface between distinct bodies. It is a dynamic process and specially designed to model the behaviour of discontinuities. The numerical solutions obtained from the distinct element analysis are validated by comparing the results with those obtained from existing experiments and finite element modelling.