Adaptive Delta Modulation in Networked Controlled Systems With bounded Disturbances

摘要

This technical note investigates the closed-loop properties of the differential coding scheme known as Delta Modulation $(Delta-M)$ when used in feedback loops within the context of linear systems controlled through a communication network. We propose a new adaptive scheme with variable quantization step $Delta$, by defining an adaptation law exclusively in terms of information available at both the transmitter and receiver. With this approach, global asymptotic stability of the networked control system is achieved for a class of controllable (possibly unstable) linear plants. Moreover, thanks to the globally defined switching policy, this architecture enjoys a disturbance rejection property that allows the system to recover from any finite-time unbounded disturbance or communication loss.