Conference Proceedings
Stochastic stabilisation and power control for nonlinear feedback loops communicating over lossy wireless networks
AI Maass, D Nesic, VS Varma, R Postoyan, S Lasaulce
Proceedings of the IEEE Conference on Decision and Control | Published : 2020
Abstract
We study emulation-based stabilisation of nonlinear networked control systems communicating over multiple wireless channels subject to packet loss. Specifically, we establish sufficient conditions on the rate of transmission that guarantee Lp stability-in-expectation of the overall closed-loop system. These conditions depend on the cumulative dropout probability of the network nodes for static protocols. We use the obtained stability results to study power control, where we show there are interesting trade-offs between the transmission rate, transmit power, and stability. Lastly, numerical examples are presented to illustrate our results.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
This work was supported in part by the Australian Research Council through the Discovery Project under Grant DP170104099, and in part by the Agence Nationale de la Recherche via grant HANDY, number ANR-18CE40-0010, and the France-Australia collaboration project IRP-ARS CNRS.