A New Compensator Design for Optimal Static Output Feedback Control Across a Communication Channel Subject to Random Packet Dropouts

Abstract

This paper studies compensation of networked control across an unreliable communication channel subject to random packet dropouts. By posing it as a two decision-variable optimization problem, the control and compensation for static output feedback LQR are unified by the proposed design. New governing equations are derived for the controller and the compensator satisfying optimality conditions concurrently. Also presented is a convergent algorithm that solves these equations for the optimal gains. Finally, to validate the design and verify its effectiveness, a numerical example is given on which a computer simulation is conducted to compare its performance against that of three other existing schemes. The simulation results demonstrate its saliency among the four methods.

Keywords

• Generalized hold-input
• gradient flows
• hold-input
• Kronecker algebra
• linear quadratic regulators
• matrix vectorization