H∞ control of networked control systems with stochastic time delay and packet dropout

This note is concerned with robust H
_∞
control of linear uncertain networked control systems with stochastic network induced delay and data packet dropout. The stochastic delay and data packet dropout are viewed as equivalent delay which is modeled as a binary switching sequence satisfying a interval Bernoulli distribution. A new approach is given to model the networked control systems. Based on the Lyapunov stability theory, and with the linear matrix inequality approach, a sufficient condition is presented for the existence of H
_∞
controller. With the H
_∞
controller, the networked control systems is exponentially mean-square stable. A numerical example is provided to demonstrate the validity of the proposed design approach.