论文简报
eess.SY 2605.28399v1 值得读

Information Age-Controllability Trade-offs in Communication-Constrained Networks

Songita Das, Gourab Ghatak, Chen Quan, Geethu Joseph

发布日期：2026-05-27 12:35 相关性：1.0000 价值：0.7600 分类：eess.SY cs.IT
arXiv 摘要 PDF 原文 网页正文

摘要

We investigate the trade-off between controllability, channel access, and age-related performance in a wireless network of control systems. Controllers share a random-access channel to transmit control inputs to actuators over slotted blocks. We measure reliable control via block controllability, where a block is controllable if it contains a required number of consecutive successful transmissions. In parallel, we capture information freshness via the age of information. To enable efficient allocation of channel resources over time, we introduce adaptive access probabilities at the block level, prioritizing controllers that have not yet achieved controllability. We then derive closed-form expressions for block controllability probability, the peak latency between inter-block consecutive successes, and peak age of information. We further characterize the peak control latency, defined as the time between consecutive controllable blocks. Finally, we optimize access probabilities to jointly balance controllability and age-related metrics. Numerical results illustrate the effectiveness of the proposed adaptive access policies in managing this trade-off in interference-limited wireless control networks.

相关性判断

high
相关方向
wireless_communications age_of_information networked_control
判断依据

Directly studies wireless random-access communication, age of information, and access optimization for control systems, which is clearly adjacent to communications and information-theoretic freshness metrics.

价值判断

High relevance to wireless communications, age of information, and networked control with a clear joint controllability-freshness access optimization problem. Structure analysis indicates substantive technical content: stochastic geometry, run-length/consecutive-success analysis, closed-form metrics, and adaptive Aloha policy comparison. Main claims include a nontrivial distinction between per-slot success maximization and block controllability maximization, which is likely useful for research intelligence tracking.

核心问题与主要方法

核心问题

Jointly optimize channel access, controllability, and information freshness in a wireless control network

场景：Poisson field of controller-actuator pairs sharing a random-access channel over slotted blocks with adaptive pre/post-controllability Aloha access

主要方法

Models the wireless control network as a Poisson dipole process with SINR-threshold decoding under Rayleigh fading and Aloha-style random access. Uses run-length analysis and inclusion-exclusion to convert per-slot success probabilities into probability of v consecutive successes within a block. Tracks controllers by controllability status, partitioning them into not-yet-controllable block-access, not-yet-controllable slot-access, and post-controllability slot-access regimes. Characterizes latency and PAoI by conditioning on successful blocks and decomposing inter-block gaps into failure runs before and after successes. Optimizes per-block access probabilities through a CDF-based objective balancing controllability, current-block latency contribution, and peak control latency.

关键贡献与后续阅读

关键贡献

Introduces block controllability as a communication-control metric requiring v consecutive successful actuator transmissions within a T-slot block. Extends freshness analysis beyond slot-level AoI by jointly considering PAoI, peak latency between inter-block successes, and peak control latency between controllable blocks. Derives recursive and closed-form characterizations for controllability and latency-related metrics under adaptive block/slot Aloha access in a PPP wireless network. Formulates a joint CDF-based access-probability optimization over block access, pre-controllability slot access, and post-controllability slot access. Identifies a technically important mismatch between maximizing per-slot success probability and maximizing the probability of block controllability.

研究启发

How sensitive are the optimal policies to the grid resolution used in exhaustive search? Do the closed-form run-length expressions remain numerically stable for larger T and v? How different would the policy be under conditional/meta-distribution analysis rather than the mean-field PPP average? Are there regimes where the CDF-based objective weights substantially change the qualitative block-vs-slot access conclusion?

限制与不确定性

Optimization appears limited by nonconvex exhaustive grid search, reducing methodological urgency. Evidence is based on abstract and structure analysis only, with no independent validation of theorem quality, assumptions, or numerical strength. Primary category is eess.SY, so it may be adjacent rather than central for strictly cs.IT information theory priorities.

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