Networked Control Systems Application: Minimization of the global number of interactions, transmissions and receptions in Multi-Hop network using Discrete-Time Markovian Jump Linear Systems

This paper analyzes the Trade-Off between the global number of interactions, composed by the number of transmissions and receptions in the network, and the H-infinity norm degradation. Specifically on this study we implemented an optimum H-infinity filter in a semi-reliable Multi-Hop network modeled by Discrete-Time Markovian Jump Linear Systems. For this particular case, it was possible guarantee the filter stability with a global number the interaction of only 17.93% of packet that would be necessary for the same task using the classic filter.