Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays

Abstract EN

This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control.

Both sensor-to-controller and controller-to-actuator delays are modeled as Markov processes, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS).

Based on Lyapunov stability theorem combined with Razumikhin-based technique, a new delay-dependent stochastic stability criterion in terms of bilinear matrix inequalities (BMIs) for the system is derived.

A state feedback controller that makes the closed-loop system stochastically stable is designed, which can be solved by the proposed algorithm.

Simulations are included to demonstrate the theoretical result.