Modeling and Simulation of Dynamic Systems

Přednášející:

Cvičící:

Předmět zajišťuje:

katedra řídicí techniky

Anotace:

The course will cover creation of mathematical models of dynamic systems such as electronic, electromechanic, mechanic, termodynamic, chemical, economic or biological and analysis of these models by means of numerical simulation. The emphasis will be put on development of practical skills for systematic model building (dimensional analysis, scaling, Lagrange approach, bond graphs) rather then on explaining the individual physical principles (these are covered in physics courses). Nontheless, some situations typical in industry will be introduced is necessary detail. The simulation part of the course will focus on practical aspects of numerical solution of ordinary differential and algebraic-differential equations (for instance, which solver to use for stiff problems) rather then on their mathematical derivation.

Požadavky:

Solid mastering all the parts of physics (at the undergraduate level), above all mechanics, electromagnetism and thermodynamics. Familiarity with basic results from differential calculus (differential equations and their numerical solution) and linear algebra (sets of linear equations and their numerical solution).

Osnova přednášek:

1. Dimensional analysis an scaling

2. Variational principles in modeling (Lagrangian, Hamiltonian, ...)

3. Signal oriented modeling (sw: Simulink, Scicos)

4. Object oriented modeling (language Modelica, sw: Dymola, OpenModelica)

5. Bond graphs (sw: Dymola, 20SIM)

6. Modeling systems with distributed parameters (FEM: sw Comsol Multiphysics, Ansys, ...)

7. Electronic and electromechanics systems (Spice, ...)

8. Electromagnetic systems (magnetic levitation, dielectrophoresis, ...)

9. Flexible structures (astronomical telescope, AFM tip, deformable mirror, ...)

10. Thermodynamic systems (heat exchanger, ...)

11. Fluidic systems

12. Biologic systems

13. Solvers for continuous dynamic systems (ODE, DAE)

14. Solvers for distrubuted dynamic systems (PDE): finite difference, finite elements, spectral methods.

Osnova cvičení:

The exercises will be dedicated to the work on assigned projects.

Cíle studia:

Teach student to create models of realistically complex dynamic systems found in diverse application areas and analyze these by means of numerical simulations.

Studijní materiály:

The book recommended to students

[1.]D.C. Karnopp et al. System Dynamics: Modeling and simulation of mechatronic systems. Wiley, 4. vyd., 2006.

[2.]O. Egeland and J. T. Gravdahl. Modeling and Simulation for Automatic Control. Marine Cybernetics, 1st. ed. 2002.

Other books used for preparation of the course (students need not use them)

[3.]E. van Groesen a J. Molenaar: Continuum modeling in the physical sciences. SIAM, 2007.

[4.]C.C. Lin a L.A. Segel. Mathematics applied to deterministic problems in the natural sciences. SIAM, 1988.

[5.]F. E. Cellier a E. Kofman: Continuous system simulation. Springer, 2006.

[6.]P. Fritzson. Principles of Object-Oriented Modeling and Simulation with Modelica2.1. Wiley-IEEE Press, 2004.

Poznámka:

Rozsah výuky v kombinované formě studia: 14p+6l

Další informace:

Pro tento předmět se rozvrh nepřipravuje

Předmět je součástí následujících studijních plánů:

• Cybernetics and Robotics - Systems and Control (povinný předmět oboru)