Robust H∞ Control for Networked Systems with Random Packet Dropouts and Time Delays

Abstract

This paper is concerned with the robust H∞ control problem for a class of networked systems with random transmission delays and packet dropouts. Both the sensor-to-estimator channel and the controller-to-actuator channel are considered. The random one-step transmission delays and packet dropouts are modeled by a Bernoulli distributed stochastic variable. Applied the linear matrix inequality (LMI) approach, an observer-based feedback controller is designed to make the closed-loop networked system to be robustly exponentially stable in the sense of mean square and the prescribed H∞ disturbance-rejection-attenuation level is also achieved. A simulation example is given to illustrate the proposed method.