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Modeling and Simulation of linear dynamical systems using open tools

Zoltán Magyar Tomáš Starý Ladislav Szolik Ľudovít V ö r ö s Katar ína Žáková. Modeling and Simulation of linear dynamical systems using open tools. Introduction. subject Control Theory topic Modeling of linear systems 2 nd year in Industrial Informatics

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Modeling and Simulation of linear dynamical systems using open tools

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  1. Zoltán Magyar Tomáš Starý Ladislav Szolik Ľudovít Vörös Katarína Žáková Modeling and Simulation of linear dynamical systems using open tools

  2. Introduction • subject Control Theory • topic Modeling of linear systems • 2nd year in Industrial Informatics • 3 forms of description of linear systems • differential equation • transfer function • state space representation • orientation to open technologies

  3. Benefits of Open Technologies • not necessary to pay licences– completely free – solution for schools • European Union supports open source used in learning and education – NeelieKroes: “Being open about standards”, June 2008 • can be transformed to online applications used via web browser – not necessary local installation

  4. About our application • Our project - separated into two parts • Server and web application • Its core consists of three open source computer algebra systems (CAS) • Maxima, OpenModelica, SciLab

  5. Server • linux server • Stability • Security • Jailkit • Free

  6. Maxima • manipulation with symbolic and numerical expressions • differentiation, integration, Taylor series • Laplace transforms • ordinary differential equations • systems of linear equations • polynomials and sets, lists, vectors, matrices, and tensors

  7. Web user interfaces

  8. The communication

  9. OpenModelica • 2D plotting and simple 3D visualization. • Modelica 3.0 parsing support. • Export of DAE to XML and MATLAB. • Additional free graphic editor • SimForge can be used with • OpenModelica. • differentiation, integration, • ordinary differential equations • systems of linear equations

  10. The communication

  11. Realization

  12. SciLab • Scilab is a scientific software package for numerical computations • 2-D and 3-D graphics • Polynomials and rational functions • Genetic algorithms • Graphs and networks • Statistics • Interfaces for several other applications • Modeling and simulation of hybrid dynamic systems (Scicos)

  13. End-users web browser SciLab.sce Server.php Client.php Principle of the communication

  14. Conclusion • alternativeway to buildvirtuallaboratory • offeraccessthroughcommandline • usetheengine in frameofotherapplications

  15. Thank you for your attention

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