@inproceedings{1ff8a1efa0224094ba5f127d76f92238,
title = "Algorithms for optimal control with fixed-rate feedback",
abstract = "We consider a discrete-Time linear quadratic Gaussian networked control setting where the (full information) observer and controller are separated by a fixed-rate noiseless channel. The minimal rate required to stabilize such a system has been well studied. However, for a given fixed rate, how to quantize the states so as to optimize performance is an open question of great theoretical and practical significance. We concentrate on minimizing the control cost for first-order scalar systems. To that end, we use the Lloyd-Max algorithm and leverage properties of logarithmically-concave functions to construct the optimal quantizer that greedily minimizes the cost at every time instant. By connecting the globally optimal scheme to the problem of scalar successive refinement, we argue that its gain over the proposed greedy algorithm is negligible. This is significant since the globally optimal scheme is often computationally intractable. All the results are proven for the more general case of disturbances with logarithmically-concave distributions.",
author = "Anatoly Khina and Yorie Nakahira and Yu Su and Babak Hassibi",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 56th IEEE Annual Conference on Decision and Control, CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",
year = "2017",
month = jun,
day = "28",
doi = "10.1109/CDC.2017.8264569",
language = "الإنجليزيّة",
series = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "6015--6020",
booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
address = "الولايات المتّحدة",
}