Full-Order Dynamic Output-Feedback Compensator for Time-Stamped Networked Control Systems

Abstract

We present a method for the synthesis of a full-order dynamic output-feedback compensator for time-stamped Networked Control Systems (NCS). The methodology is obtained from the use of a polytopic approximation for the NCS representation, based on the exact discretization of the originally linear time-invariant system. The dynamics of the proposed compensator depends on the delays induced by the network, which are considered not to be greater than the sampling period and can be computed from information provided by time-stamped messages. A parameter-dependent Lyapunov function is associated to the closed-loop system to ensure stability and some time-performance. The synthesis of the compensator is described in terms of Linear Matrix Inequalities. Some numerical experiments are proposed to illustrate the applicability of the methodology.