Consistency of Value of Information: Effects of Packet Loss and Time Delay in Networked Control Systems Tasks
<|reference_start|>Consistency of Value of Information: Effects of Packet Loss and Time Delay in Networked Control Systems Tasks: In this chapter, we study the consistency of the value of information$\unicode{x2014}$a semantic metric that claims to determine the right piece of information in networked control systems tasks$\unicode{x2014}$in a lossy and delayed communication regime. Our analysis begins with a focus on state estimation, and subsequently extends to feedback control. To that end, we make a causal tradeoff between the packet rate and the mean square error. Associated with this tradeoff, we demonstrate the existence of an optimal policy profile, comprising a symmetric threshold scheduling policy based on the value of information for the encoder and a non-Gaussian linear estimation policy for the decoder. Our structural results assert that the scheduling policy is expressible in terms of $3d-1$ variables related to the source and the channel, where $d$ is the time delay, and that the estimation policy incorporates no residual related to signaling. We then construct an optimal control policy by exploiting the separation principle.<|reference_end|>
@article{soleymani2024consistency,
    title={Consistency of Value of Information: Effects of Packet Loss and Time
  Delay in Networked Control Systems Tasks},
    author={Touraj Soleymani, John S. Baras, Siyi Wang, Sandra Hirche, Karl H.
  Johansson},
    journal={arXiv preprint arXiv:2403.11932},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.11932},
    primaryClass={cs.IT math.IT math.OC}
}