Optimal sensor schedule under limited resources for two linear dynamical systems in wireless sensor network

Abstract

In this paper, we consider the problem of sensor scheduling under limited resources for two linear dynamical systems. We set up that only two sensor nodes were used to monitor the status of two systems, respectively, and consider the scenario that the sensors are smart enough to have abundant computation capability. At each time, the sensors have to decide whether to transmit its local estimate to the remote control center or not for further processing owing to the limited available energy and low channel bandwidth. The necessary condition for the optimal scheduling of sensors is presented which can significantly reduce the feasible optimal solution space. Based on this necessary condition, we construct an optimal explicit sensor schedule, which is periodic and minimizes the estimation error. Examples and simulations are provided at the end of the paper to support the results.