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On abstraction and interpretability: a behavioural perspective

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The process of abstracting physical systems to obtain models and interpret these for the desired purpose is considered from a perspective originating from the behavioural framework. It is pointed out that for the purpose of modelling regenerative processes or passive controllers, the behavioural framework and bond graphs are well suited. The reader is introduced to modelling of dynamical systems in the behavioural framework; in this context system representations predominant in the behavioural framework are presented. In addition, the concepts of interconnection and control by interconnection are shown together with a numerical simulation and an illustrative example. Bond graphs for graphical modelling of systems without a priori assumptions of causality are presented, with the key concepts illustrated by repeating the illustrative example from the behavioural modelling section by help of bond graphs. A comparison shows that manifest behaviours of interconnected systems can be stated directly from the corresponding bond graph. This shows the common applicability of both techniques to handle real world modelling and control problems.
Czasopismo
Rocznik
Strony
19--26
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
Bibliografia
  • [1] Belur M.N., Control in a behavioural context, PhD thesis, Rijksuniversiteit Groningen, 2003.
  • [2] Branicky M., Stability of switched and hybrid systems, Proc. of Conference on Decision and Control, 1994.
  • [3] Controllab Products B.V. 20-sim, http://www.20sim.com, 2008.
  • [4] Damic and Montgomery, Mechatronics by Bond Graphs, Springer-Verlag, Berlin Heidelberg, 2003.
  • [5] Karnopp D., Rosenberg R.C., Analysis and Simulation of Multipart Systems: The Bond Graph Approach to Physical System Dynamics, MIT Press, 1968.
  • [6] Karnopp D., Margolis D.L., Rosenberg R.C., System dynamics: a unified approach, Wiley, New York, 1990.
  • [7] Martineau S., Burnham K.J., Haas O.C.L., Andrews G., Heeley A.. Four-term bilinear PID controller applied to an industrial furnace, Control Engineering Practice, 12, 2004.
  • [8] Paynter H.H., Analysis and Design of Engineering Systems, MIT Press, 1961.
  • [9] Pfaff R., Vinsonneau B., Burnham K.J., Modelling and identification in the behavioural framework: use of polynomials and splines to approximate time trajectories, Proceeding of the 18th Int. Conference on Systems Engineering, Coventry, UK, 2006.
  • [10] Polderman J.W., Willems J.C., Introduction to Mathematical Systems Theory: A Behavioural Approach, Springer-Verlag, New York, 1998.
  • [11] van der Schaft A. J., Achievable behaviour of general systems, Systems and Control Letters, 49(2), 2003.
  • [12] Trentelman H.L., Willems J.C., The behavioural approach as a paradigm for modelling interconnected systems, European Journal of Control, 9(2-3), 2003.
  • [13] Willems J.C., System theoretic models for the analysis of physical systems, Ricerche di Automatica, 10, 1979.
  • [14] Willems J.C., Modelling dynamical systems using manifest and latent variables, Mathematics and Computers in Simulation, 53, 2000, pp. 227-237.
  • [15] Willems J.C., On interconnections, control, and feedback, IEEE Trans. Automatic Control, 42(3), 1997.
  • [16] Willems J.C., Julius A.A, Belur M.N., Trentelman H.L., The canonical controller and its regularity, Proceedings 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0062-0003
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