arXiv:2510.18852quant-phcs.AI2025-10被引 1

用量子算法+稳定性分析,让自动驾驶车辆控制更安全可靠。

Lyapunov-Aware Quantum-Inspired Reinforcement Learning for Continuous-Time Vehicle Control: A Feasibility Study

  • 结合量子电路与李雅普诺夫稳定性理论优化控制策略
  • 仿真显示系统状态始终有界,实现安全可控的自适应巡航
  • 适合关注自动驾驶安全与量子控制融合的研究者

本文提出一种基于李雅普诺夫的量子强化学习(LQRL)框架,将变分量子电路(VQC)的表示能力与稳定性感知的策略梯度机制相结合,用于连续时间车辆控制。车辆纵向控制被建模为连续状态强化学习任务,量子策略网络在李雅普诺夫稳定性约束下生成控制动作。在闭环自适应巡航场景中,采用稳定性反馈训练的量子启发策略进行仿真。结果表明,该框架成功将李雅普诺夫稳定性验证嵌入量子策略学习过程,实现可解释且稳定的安全控制。尽管在激进加速时出现瞬态超调和李雅普诺夫函数发散,系统仍保持状态演化有界,验证了在量子强化学习架构中集成安全保证的可行性。该工作为自主系统中可证明安全的量子控制及混合量子-经典优化领域奠定了基础。

原文摘要 · Abstract (English)

This paper presents a novel Lyapunov-Based Quantum Reinforcement Learning (LQRL) framework that integrates quantum policy optimization with Lyapunov stability analysis for continuous-time vehicle control. The proposed approach combines the representational power of variational quantum circuits (VQCs) with a stability-aware policy gradient mechanism to ensure asymptotic convergence and safe decision-making under dynamic environments. The vehicle longitudinal control problem was formulated as a continuous-state reinforcement learning task, where the quantum policy network generates control actions subject to Lyapunov stability constraints. Simulation experiments were conducted in a closed-loop adaptive cruise control scenario using a quantum-inspired policy trained under stability feedback. The results demonstrate that the LQRL framework successfully embeds Lyapunov stability verification into quantum policy learning, enabling interpretable and stability-aware control performance. Although transient overshoot and Lyapunov divergence were observed under aggressive acceleration, the system maintained bounded state evolution, validating the feasibility of integrating safety guarantees within quantum reinforcement learning architectures. The proposed framework provides a foundational step toward provably safe quantum control in autonomous systems and hybrid quantum-classical optimization domains.

量子控制强化学习自动驾驶稳定性

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