Trading Off Controlled System Energy and Wireless Communication Energy

In contrast with previous cellular systems standard, 5G wireless communications are much more suited to the remote control physical systems (e.g., cars, drones, robots). In this new setting, it becomes relevant to revisit the problem of wireless transmit power control and make it more goal-oriented, the goal being to minimize a given controlled system final performance metric. This work precisely aims at designing the transmit power algorithm so as to find a tradeoff between the system energy and communication energy. This paper focuses on the case of vector linear dynamical systems subject to additive perturbation when communications between the system controllers and the systems to be controlled are subject to packet erasures. Even for the single system case, the corresponding optimization problem is not trivial but turns out to be solvable iteratively. For the multiple system case, we propose a transmit power control algorithm which is generally suboptimal but has the virtue of being distributed and performing better than power control strategies that are usually implemented for controlled systems.