Bond graph-based filtered inversion of multivariable physical systems

Abstract

In a variety of fields, system inversion is often required in order to determine inputs from measured or for desired outputs. However, inverse systems are often non-proper in the sense that they require differentiators in their realisation. This leads to numerical difficulties associated with the computer implementation of their mathematical models. To overcome these problems, approximate inversion also referred to as filtered inversion is proposed for systems modelled by bond graphs. Generic configurations of right and left filtered inverse bond graph models are proposed with dynamic structural conditions on the filters so that the resulting composite bond graph represents a proper system suitable for effective numerical implementations.

Effect of Friction on Ball-On-Sphere System Modelled by Bond Graph

“…It provides room for expansion, incorporation of new sub-models in an existing one, efficient structural analysis, fault detection and isolation (FDI) capabilities. Bond graph is easily incorporated and compatible with most simulation software's, like 20-sim, Simulink/Matlab, Dymola and labVIEW [11].…”