Integrated Designs of Control and Compensation for Output Feedback Linear Quadratic Regulator across an Unreliable Communication Channel

This paper addresses the issue of discrete time-invariant optimal output feedback control across an unreliable communication channel in the context of networked control system where random packet loss of control signal occurs. By proposing a unified performance criterion, the work aims to integrate the designs of controller and compensator by connecting the latter and the performance index under the output feedback LQR setting. A new set of design equations for the controller and the compensator satisfying optimality conditions is derived which then is followed by a convergent algorithm that solves the design equations for the gains. Finally, a numerical example is given to compare performances and validate the proposed approach.