Lazy sensors for the scheduling of measurement samples transmission in linear closed loops over networks

We consider an exponentially stable close-loop interconnection of a continuous linear plant and a continuous linear controller, and we study the problem of interconnecting the plant output to the controller input through a network. We propose a family of "lazy sensors" whose goal is to transmit the measured plant output information as little as possible while preserving closed-loop stability. In particular, we propose three transmission policies, providing conditions on the transmission parameters. These guarantee global asymptotic stability when the plant state is available, and global practical stability when the plant state is not available. Simulation results confirm the effectiveness of the proposed strategies.