Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Abstract

The stochastic stabilisation of networked control systems is investigated with a special focus on the lossy multi-packet transmission in the wireless communication context. The resulting partially available system states due to multi-packet transmission are firstly reconstructed at the controller, and the sufficient conditions for stochastic stability are then given for the closed-loop system, which finally leads to a controller design method with explicit consideration of multi-packet transmission. The proposed theoretical results are verified by both numerical and TrueTime-based examples.