Hybrid observer design for a class of hybrid dynamic systems

Hybrid observer design is addressed for a class of discrete-time linear switched systems whose switching mechanism is unknown. The hybrid observation problem consists in determining the estimation of the current mode and the continuous observer for continuous behavior from a finite set of input-output data. First, the current mode is estimated using a classification algorithm that associates the current data to its appropriate submodel. Second, the continuous observer is determined by the resolution of linear matrix inequalities. A comparative study of the proposed approach with the k-means method was achieved in simulation. A numerical example was reported to evaluated the proposed method.