An H_2 Approach to Networked Control System

Packet-based transmission of data over a network with limited bandwidth would result in lost data.The H_2 output feedback control problem for a class of networked control system with both measurement data and control data missing simulta- neously is considered in this paper.The packet loss is modeled as a Bernoulli distributed white sequence with a known conditional probability distribution.A sufficient condition for the existence of a dynamic output feedback controller is present via matrix inequalities,such that the closed-loop system is exponentially mean-square stable and a prescribed H_2 performance is guar- anteed.The sequentially linear programming matrix method (SLPMM)is used to solve the matrix inequalities.Numerical example is provided to demonstrate the feasibility of the pro- posed condition and the controller design procedure.