A new method for stabilization of networked control systems with random delays

TLDR

The paper addresses stabilizing discrete‑time networked control systems subject to random delays. Delays are modeled as two Markov chains yielding a two‑mode jump linear system, and an iterative LMI method is used to compute mode‑dependent state‑feedback gains. The authors derive necessary and sufficient conditions for stabilizing controllers and demonstrate that the resulting state‑feedback gains depend on the system mode.

Abstract

We consider the stabilization problem for a class of networked control systems in the discrete-time domain with random delays. The sensor-to-controller and controller-to-actuator delays are modeled as two Markov chains, and the resulting closed-loop systems are jump linear systems with two modes. The necessary and sufficient conditions on the existence of stabilizing controllers are established. It is shown that state-feedback gains are mode-dependent. An iterative linear matrix inequality (LMI) approach is employed to calculate the state-feedback gains.