Markov jump linear systems and filtering through network transmitted measurements

This paper addresses how several models available for a measurement transmission network channel, like the generalized Gilbert-Elliot, Fritchman or McCullough ones, from a linear and time invariant plant to its filter can be incorporated into the more general framework of Markov jump linear systems filtering. Combined with transmission protocols that allow package failure recognition, the particular concept of cluster availability of the Markov modes becomes appealing. Numerical examples are explored to show applicability of the results. The design of the filter is done using linear matrix inequalities (LMIs).