Control of NCSs with energy efficient channel assignment and power allocation

Abstract

Abstract This paper investigates the simultaneous stabilization of a collection of battery-powered networked control systems (NCSs) with medium access constraint and communication energy limitation. Each time the channels can only accommodate a limited number of systems for communication and the successful packet arrival rate at the controller depends on the power used by the sensor. Then in order to satisfy the medium access constraint, reduce the communication energy cost and stabilize the collection of NCSs, one needs to decide when to schedule which plant to communicate by which channel and by which power level. Based on the average dwell time technique, sufficient conditions for the exponential mean square stability of a single plant are given at first. Then, based on the stability conditions, a period scheduling policy is proposed to assign the channel accessing sequence and power level such that all the plants are simultaneously stabilized. Finally, a new framework for channel assignment, power allocation and controller design is constructed, which can guarantee a desired decay rate for each system and a minimal energy consumption for the group of systems. The effectiveness of the methodology is demonstrated with numerical simulations.