Mixed H2/H∞ control for networked control system with missing data

In the framework of multi-objective control, this paper presents a mixed H₂/H_infin dynamic output feedback control strategy to the network remote control system with measurement data missing and control data missing. Via matrix inequality method, the sufficient for existence of the dynamic output feedback controller, guaranteeing the closed-loop system has H₂ and H_infin performance simultaneously, is given. A novel arithmetic is put forward to optimize the controller performance via SLPMM (sequentially linear programming matrix method). A numerical example is presented to demonstrate the feasibility of the proposed design approach.