Modeling and Analysis for Joint Design of Communication and Control
This work addresses the integration of communication and control for networked systems, which is incremental as it builds on existing beamforming techniques to analyze trade-offs and reliability.
The paper tackles the joint design of communication and control systems by proposing a unified analytical framework, deriving performance metrics like transmission delay and control variance, and establishing a Pareto boundary to characterize the optimal trade-off, with numerical results validating that this boundary defines the performance limit and reliability is jointly determined by control loops and communication coupling.
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.