Stabilization of Networked Control Systems with uncertain time-varying delays

This paper deals with the stabilization problem of a Networked Control System, by means of an observer-based state feedback control approach. In particular, this paper focuses on a closed-loop Master-Slave setup with a TCP network as communication media, in case of uncertain, time-varying, non-symmetric transmission delays affecting both the control input and measured output. First, we establish some asymptotic stability criteria for the closed-loop NCS, regarding to a Lyapunov-Krasovskii functional derived from a descriptor model transformation. These stability conditions are given in terms of Linear Matrix Inequalities which are used, afterwards, to design the observer and state feedback controller gains. Finally, the proposed stabilizing approach is illustrated through numerical and simulation results, related to the remote control of a "ball and beam" system.