arXiv:2606.15366eess.SYcs.RO2026-06

通过迭代更新保持安全与稳定,让学习模型更可靠。

Robust Conformal CBF and CLF Controllers via Iterative Policy Updates

论文配图:Robust Conformal CBF and CLF Controllers via Iterative Policy Updates
图 1 · 摘自论文原文
  • 用对抗鲁棒的置信预测动态调整控制策略
  • 量化分布偏移预算,限制模型误差增长
  • 首次实现鲁棒置信控制的稳定性与安全性保证

置信预测(CP)可用于获取学习动力学模型与未知真实系统之间误差的概率边界,并可嵌入鲁棒控制李雅普诺夫函数(CLF)和控制屏障函数(CBF)框架中。然而,由于部署后闭环轨迹分布与生成CP边界所用轨迹分布之间存在分布偏移,现有方法无法维持稳定性与安全性保证。为此,我们提出一种分阶段框架,通过迭代更新鲁棒置信CLF/CBF策略,在各阶段均保持稳定性与安全性。该方法基于(1)对抗鲁棒置信预测,以及(2)通过闭环轨迹敏感性分析推导出的分布偏移预算,以控制模型误差在策略更新间的增长幅度,从而得到隐式与显式更新规则。我们分析了算法收敛性,并在三个案例研究中进行了验证。据我们所知,这是首个为鲁棒置信CLF/CBF策略提供稳定性与安全性保证的结果。

原文摘要 · Abstract (English)

Conformal prediction (CP) has been used to obtain probabilistic bounds on the error between a learned dynamics model and the true but unknown system. Such CP bounds can then be embedded into robust control Lyapunov function (CLF) and control barrier function (CBF) frameworks. However, such an approach does not retain stability/safety guarantees because of the distribution shift between the closed-loop trajectory distribution under the deployed CLF/CBF policy and the trajectory distribution from which the CP bound and its guarantees were derived. To address this issue, we propose an episodic framework that iteratively updates the robust conformal CLF/CBF policy while maintaining stability/safety guarantees across episodes. We achieve this by (1) using adversarially robust conformal prediction, and (2) quantifying a distribution shift budget that allows us to control how much the model error can increase across policy updates. This distribution shift budget is derived via a closed-loop trajectory sensitivity analysis, yielding an implicit and an explicit update rule for the CP bound. We analyze convergence of our algorithm, which we demonstrate on three case studies. To the best of our knowledge, these are the first results that provide stability/safety guarantees for robust conformal CBF/CLF policies.

控制理论安全控制置信预测鲁棒优化

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