Failure detection and reconstruction in switched nonlinear systems

This work presents a novel algorithm for the invertibility of switched nonlinear systems. An invertible switched system is one for which it is possible to reconstruct the entire unknown inputs and the associated evolving mode. In our approach, the dynamic of the inverse systems is given by means of a projection which decomposes the state space into two transverse foliations: one is tangent to the unknown inputs and the other is transverse. Illustrative examples and a missile application are given and discussed in this paper.