Co-design of Polynomial Control Law and Communication Scheduling Strategy for Multi-Loop Networked Control Systems

This paper deals with the problem of stabilization of a multi-loop networked control system over a shared communication network. We co-design a polynomial control law and a communication scheduling strategy, which is based on the earliest deadline first (EDF) algorithm. The proposed polynomial control strategy allows for generating a time-varying control input to the plant of each control subsystem, even between two successive communication instants, by transmitting limited information over the communication network and by using limited computational resources at the actuator. We provide a sufficient condition that ensures that the proposed communication scheduling strategy guarantees global asymptotic stability of the origin of each control subsystem. We illustrate our results through numerical examples.