BOND GRAPH APPROACH TO MULTITIME SCALE SYSTEMS-ANALYSIS

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 et al., "Singular Perturbation Methods in Control. Analysis and Design", Academic Press, London, 1986) and geometrical (G. Peponides et al., 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.