H ’infinite’ estimates for discrete-time Markovian jump linear systems.

This paper deals with the problem of H∞ filtering for discrete-timeMarkovian jump linear systems. Predicted and filtered estimates\ud are obtained based on the game theory. Both filters are solved through recursive algorithms. The Markovian system considered\ud assumes that the jump parameters are not accessible. Necessary and sufficient conditions are provided to the existence of the filters.\ud A numerical example is provided in order to show the effectiveness of the approach proposed