# Sparse Packetized Predictive Control for Networked Control over Erasure Channels

arXiv: https://arxiv.org/abs/1307.8242 · HTML: https://mlsanity.com/paper/1307.8242/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Jul 2013.

## Built on by (most cited first, 2 of 2)

- [Adaptive Composite Online Optimization: Predictions in Static and Dynamic Environments](https://mlsanity.com/paper/2205.00446/) (2022)
- [Robustness and invariance properties of image classifiers](https://mlsanity.com/paper/2209.02408/) (2022)

## Abstract (arXiv)

We study feedback control over erasure channels with packet-dropouts. To achieve robustness with respect to packet-dropouts, the controller transmits data packets containing plant input predictions, which minimize a finite horizon cost function. To reduce the data size of packets, we propose to adopt sparsity-promoting optimizations, namely, ell-1-ell-2 and ell-2-constrained ell-0 optimizations, for which efficient algorithms exist. We derive sufficient conditions on design parameters, which guarantee (practical) stability of the resulting feedback control systems when the number of consecutive packet-dropouts is bounded.