Bond graph approach to multi-time scale systems analysis

Abstract The main difficulty in a problem of order reduction or simplification in modelling by decoupling different dynamics in a multi-time scale system remains the analysis to identify the slow and fast variables in the global system. Analytical (P. Kokotovic>, “Singular Perturbation Methods in Control. Analysis and Design”, Academic Press, London, 1986) and geometrical (G. Peponides, IEEE Trans. Circuits Systems, Vol. CAS-29, No. 11, 1982) methods have been proposed for application to a state equation model. The aim of this paper is to show up the great advantages of a bond graph model for simplification in modelling. Linear time-invariant RC networks are taken here as examples for the implementation of the study.