Modeling and Analysis for Joint Design of Communication and Control

๐Ÿ“… 2026-04-08
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This study addresses the challenges in joint communication and control design, where transmission delay and control steady-state variance are difficult to co-optimize and system reliability lacks a unified evaluation metric. To this end, the authors develop an integrated communication-control analysis framework and, for the first time, derive the Pareto boundary characterizing the trade-off between these two performance measures. They further propose a Joint Decoding and Control Completion (JDCC) outage probability to quantify system reliability. Leveraging maximum-ratio transmission (MRT) and zero-forcing (ZF) beamforming, combined with stochastic process and information-theoretic techniques, closed-form expressions for both the achievable performance region and the JDCC outage probability are obtained. Theoretical analysis and simulations confirm the tightness of the derived Pareto boundary, reveal the coupling mechanisms between communication and control in uplinkโ€“downlink closed-loop systems, and establish fundamental performance limits for JDCC-based systems.
๐Ÿ“ Abstract
A unified analytical framework for joint design of communication and control (JDCC) is proposed. Within this framework, communication transmission delay and steady-state control variance are derived as the two fundamental JDCC performance metrics. The Pareto boundary is then established to characterize the optimal communication-control trade-off in JDCC systems. To further obtain closed-form expressions, their performance regions are derived under maximum-ratio transmission (MRT) and zero-forcing (ZF) beamforming. For system reliability evaluation, the communication-only and control-only outage probabilities are first derived. Based on these, the JDCC outage probability is defined to quantify the probability that the communication-delay and control-error requirements cannot be simultaneously satisfied. Its analytical expressions are then derived under both MRT and ZF schemes. Finally, numerical results validate the theoretical results and reveal that: (1) the Pareto boundary characterizes the trade-off frontier and performance limit of JDCC systems and (2) the JDCC reliability is jointly determined by the uplink-downlink closed-loop control and its coupling with communication.
Problem

Research questions and friction points this paper is trying to address.

joint design of communication and control
communication delay
control variance
Pareto boundary
outage probability
Innovation

Methods, ideas, or system contributions that make the work stand out.

Joint Design of Communication and Control (JDCC)
Pareto Boundary
Communication-Control Trade-off
Outage Probability
Beamforming
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