Computing Implicitly Given ARR Residuals

As to the previously considered simple hybrid network (Fig. 4.1), ARRs in closed symbolic form could be derived from its diagnostic bond graph (Fig. 4.2). As a result, analytical expressions for the ARR residuals to be used in the formulation of the least squares cost function are available and symbolic partial derivatives of ARR residuals with respect to the targeted fault parameters can be exploited. 

Fault parameter estimation based on Scilab functions as previously illustrated by means of a simple hybrid network may be easily adapted to this case. Instead of evaluating analytical expressions for the ARR residuals, the equations of the coupled 

6 Isolation of Multiple Parametric Faults from a Hybrid Model 

The computation of the behavioural model and the DBG takes place in a modified function residuals-2 () (Fig.6.14). 

The computation of the ARR residuals is actually performed by the function DBG() displayed in Fig. 6.15. 

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