Application of Signal Flow Graph Theory for Obtaining State Space Model from Bond Graph Model with Derivative Causality

• Autorzy: Antić D. , Stanković L. , Danković B. , Nikolić V.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a new approach for deriving state space equations from a causal bond graph, in which there is derivative causality as well, on the basis of the equivalent signal flow graph is presented. By following ”the paths of traveling” of two general bond graph variables (the effort e and the flow f) through the causal bond graph, the equivalent signal flow graph is obtained. On the basis of that signal flow graph, a system of equations, in which the first derivatives of the state variables are implicitly expressed, by which the arranging of the state space model is obtained, is formed.

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2003
• Tom: Vol. 27, No. 1
• Strony: 5--13
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Antić D.

• Faculty of Electronic Engineering, University of Niš

autor

Stanković L.

• Faculty of Electronic Engineering, University of Niš

autor

Danković B.

• Faculty of Electronic Engineering, University of Niš

autor

Nikolić V.

• Faculty of Mechanical Engineering, University of Niš

Bibliografia

• 1. Antic, D., Stankovic, L., Dankovic, B ., 1997, Obtaining state space model from bond graphs with derivative causality using signal graph theory, Proceedings of the 7 th Symposium of Mathematics and its Applications, "Politechnica" University of Timisoara, Timisoara, 19-24.
• 2. Antic, D., Stankovic, L., Dankovic, B., 1998, Systematic procedure for obtaining state space model from bond graphs using signal graph theory, Journal of Electrotechnics and Mathematics, No 1, 27-36.
• 3. Antic, D., Stankovic, L., Dankovic, B., Mladenovic, M., 1997, Modelling and simulation of a class of hydraulic systems using bond graphs, XLI conference ETRAN (in Serbian).
• 4. Breedveld, P.C., 1988, Systematic procedures to derive błock diagrams and state equations from bond graphs, Matematical Research: Systems Analyses and Simulation, Band 47, 371-374, Akademie Verlag, Berlin.
• 5. Cornet, A., Lorenz, F., 1989, Equation ordering using bond graph causality analysis, Modelling and simulation of systems, Scientific Publishing Co., IMA CS, 55-58.
• 6. Gawthrop, P., Smith, L., 1996, Metamodelling: Bond graphs and dynamie systems, Prentice Hall International.
• 7. Karnopp, D., Margolis, D., Rosenberg, R., 1990, System dynamics: a unified approach, John Wiley & Sons, Inc., USA.
• 8. Stojic, M., 1988, Continuous Control Systems, Scientific book, Belgrade.