Stabilization of linear systems over networks with bounded time-varying delays

Abstract

Abstract Abstract The present paper deals with the stabilization problem of a Networked Control System (NCS) with a TCP network as communication media, under time-varying network-induced delays affecting both the control input and measured output. In particular, our attention is focused on a Master-Slave setup with time-varying, bounded “non-small” (that are time-varying delays with non-zero lower bounds), non-symmetric transmission delays affecting the Slave control input and its transmitted (scalar) output, with constraints on the delays derivative less than one. More precisely, we focus on the design of an observer-based state feedback control approach to insure asymptotic stability criteria for the closed-loop system NCS. The controller and observer gains are computed in resolution of Linear Matrix Inequalities (LMIs) conditions. Finally, the proposed stabilizing approach is illustrated through numerical and simulation results, related to the remote control of a “ball and beam” system.