The aim innovation of the present paper is to provide a unified and simple graphical reasoning based on the concept of causal cycles (and loops) and their related graph concepts, in order to proof the criterions of state structural observability and observability of linear and linearized bond-graphs.
This paper presents a new graphical algorithm to carry out the rule of structured residuals, in order to enhance the internal component faults isolation of linear and linearized dynamical systems. For this aim, it is shown that the diagnostic bond graph; which allows generating residuals by using the ARRs scheme also allows handling their structuration. The residuals structuration is achieved through the fault structural decoupling leading to selective sensitivity to subsets of faults. To deal with the fault structural decoupling, a new bond graph bicausal element is introduced; it is termed Effort and Flow Propagator (or join) element. This approach is within the frequency domain, so, the process of residuals generation is homogenized by using solely the rule of the transfer function in s-form.
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