Mean Square Stabilization of Vector LTI Systems over Power Constrained Lossy Channels
Abstract
This paper studies the mean square stabilization problem of vector LTI systems over power constrained lossy channels. The communication channel is with packet dropouts, additive noises and input power constraints. To overcome the difficulty of optimally allocating channel resources among different sub-dynamics, schedulers are designed with time division multiplexing of channels. An adaptive TDMA (Time Division Multiple Access) scheduler is proposed first, which is shown to be able to achieve a larger stabilizability region than the conventional TDMA scheduler, and is optimal under some special cases. In particular, for two-dimensional systems, an optimal scheduler is designed, which provides the necessary and sufficient condition for mean square stabilization.
Keywords
Cite
@article{arxiv.1510.08999,
title = {Mean Square Stabilization of Vector LTI Systems over Power Constrained Lossy Channels},
author = {Liang Xu and Yilin Mo and Lihua Xie},
journal= {arXiv preprint arXiv:1510.08999},
year = {2015}
}
Comments
Submitted to 2016 American Control Conference