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arXiv 2606.32003eess.SYcs.SY
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丢包与不确定性下线性系统的强化学习与自适应控制比较研究

On the Comparison of Reinforcement Learning and Adaptive Control for Linear Systems under Packet Loss and Uncertainty

Northeastern University(东北大学)

Moh Kamalul Wafi

AI总结:

比较自适应量化控制(AQC)与深度确定性策略梯度(DDPG)在输入量化、丢包及动态切换下的性能,AQC因李雅普诺夫稳定性保证而鲁棒性更优。

摘要:

本文对自适应量化控制(AQC)和深度确定性策略梯度(DDPG)强化学习在具有输入量化的通信信道上的不确定线性系统进行了比较研究,该通信信道存在丢包。所考虑的场景还包括在运行过程中从标称不稳定系统动态切换到更不稳定的系统。AQC针对未知系统动力学设计,利用确认消息补偿丢包,而DDPG控制器使用标称系统模型训练,无需确认消息。数值结果表明,DDPG控制器在其训练环境中实现了更快的瞬态响应和改善的阻尼。然而,在模型不确定性、丢包和动态切换下,AQC由于其严格的李雅普诺夫稳定性保证而始终表现出更强的鲁棒性。这些结果凸显了数据驱动性能与基于模型鲁棒性之间的权衡,并为强化学习和自适应控制在网络化不确定系统中的应用提供了见解。

英文摘要:

This paper presents a comparative study between Adaptive Quantized Control (AQC) and Deep Deterministic Policy Gradient (DDPG) reinforcement learning for uncertain linear systems with input quantization over communication channels subject to packet loss. The considered setting also includes dynamic switching from a nominal unstable system to a more unstable one during operation. The AQC is designed for unknown system dynamics using acknowledgment messages to compensate for packet losses, whereas the DDPG controller is trained using the nominal system model without acknowledgment messages. Numerical results show that the DDPG controller achieves faster transient responses and improved damping within its training environment. However, under model uncertainty, packet loss, and dynamic switching, the AQC consistently demonstrates superior robustness owing to its rigorous Lyapunov stability guarantees. These results highlight the trade-off between data-driven performance and model-based robustness, and provide insight into the applicability of reinforcement learning and adaptive control for networked uncertain systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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