Feldetektering för diagnos med differentialgeometriska metoder - en implementation i Mathematica
Diagnosis means detection and isolation of faults. A model based
diagnosis system is built on a mathematical model of the system. The
difficulty when constructing the diagnosis system depends om how the
model is formulated. In this report, a method is described that
rewrites the model on such a form that the construction of the
diagnosis algoritm is easy. The model is transformed by two state
space transformations and the result will be a system on state space
form where one part of the system becomes easy to supervise.
The main part of the report describes the procedure to create these
transformations, which can be done in seven steps, based on
differential geometric methods.
The aim of this masters thesis was to create an implementation in
Mathematica (a computer tool for symbolic formula manipulation) of the
creation of the two transformations and the system transformation. The
created functions are described and examples of these are given.
A further aim was to evaluate if Mathematica could be a good support
to rewrit a model. This was done by studying examples, and on the
basis of the examples, identify difficult and easy steps.
The program has shown to be a good aid. Two of the seven steps have
been identified as difficult and proposals for improvements have been
Senast uppdaterad: 2015-02-05