Stability of Networked Control Systems Subject to a Multiple-packet Transmission Policy

Abstract

This paper is concerned with stability analysis of discrete-time networked control systems under a multiple-packet transmission policy. The packet dropping probability of the communication network is assumed to be known, or bounded by a given constant. Necessary and sufficient conditions for stability are obtained for the above two cases. For the second case, a formula is derived for a measure of the robustness of a system against packet dropping, termed packet dropping margin. A design method is proposed for improving the margin subject to the constraint that the system has a set of prescribed nominal closed-loop poles