On the Performance of Joint Resource Allocation and Control in Industrial IoT

In this paper, a wireless networked control system with a local controller and remote controller is investigated. The observed states can be controlled directly by the local controller or controlled by the remote controller via an unreliable channel. In this scenario, we focus on a more realistic problem that the network might be faced with, that is, the lifespan of the network. However, this issue has received little attention. The lifespan of the network is considered in two-folds: 1) a stochastic sample and transmission scheme is adopted to reduce the power consumption and 2) the transmit power is optimized to guarantee the total transmission power limitation. In order to balance the control performance and the network lifespan, an optimization problem on communication and control co-design is formulated. In particular, we aim to jointly optimize the resource allocation and local/remote controls by minimizing the linear quadratic regulation (LQR) control cost under the constraints of transmit power and transmission probability. The results of the considered optimization problem show that there exists an optimal transmit power and the corresponding transmission probability that can minimize the control cost function. Numerical results are further provided to verify the theoretical analysis.