Quantized Feedback Control Over Packet Dropout Communication Channels

Abstract

This paper investigates quantized feedback control problems for linear time-invariant control systems, where the sensors and controllers are geographically separated and connected via noisy, bandwidth-limited digital communication channels. The packet dropout process of the channel is modeled as a time-homogeneous Markov process. An adaptive differential coding strategy and a predictive control policy are implemented to achieve the minimum data rate of the channel for mean square stabilization of the unstable plant. In particular, it is shown that a sufficient condition on mean square stabilization of the system with disturbances is that the data rate is more than the lower bound given in our results. The sufficient condition decomposes into two terms: a condition on the data rate and a condition on the transition probabilities of the Markov chain. An illustrative example is given to demonstrate the effectiveness of the proposed method.

DOI: http://dx.doi.org/10.5755/j01.itc.41.3.1064