Structural Control Properties of Switched LTI Systems

It is obvious that for FDI a system must be observable and in order to allow for fault accommodation it must be controllable. Therefore, it is important to analyse the structural properties of a model. If it turns out that, for a given set of sensors, a system is structurally not observable then it is numerically not observable. In a hybrid system model, switches disconnect or reconnect model parts at the advent of discrete events. That is, the model structure is system mode dependent. Also, the set of model equations that holds for a system mode differs from the one for another system mode with regard to its form and its properties. 

This chapter addresses structural control properties of linear hybrid system models as well as mathematical properties. If the imderlying mathematical model is of the form of a DAE system then its index is an information relevant with regard to its symbolic and numerical processing. 

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