Stabilization of Networked Control Systems with Data Packet Dropout and Transmission Delays: Continuous-Time Case

The problem of data packet dropout and transmission delays induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov-Razumikhin function techniques, delaydependent condition on the stabilization of NCSs is obtained in terms of linear matrix inequalities (LMIs). Stabilizing state feedback controllers can then be constructed by using the feasible solutions of some LMIs. The admissible upper bounds of data packet loss and delays can be computed by using the quasi-convex optimization algorithm. Numerical examples illustrate the effectiveness of the proposed approach.