arXiv:2608.19366cs.CEcs.LG2026-08

动态调整安全边界,让智能系统在能力下降时仍能安全运行。

Data-Driven Time-Varying Control Barrier Functions for Adaptive Safe-Set Learning with Online Decremental Support Vector Machines

论文配图:Data-Driven Time-Varying Control Barrier Functions for Adaptive Safe-Set Learning with Online Decremental Support Vector Machines
图 1 · 摘自论文原文
  • 用增量式SVM在线学习并更新安全区域,随系统退化自动收缩
  • 通过时变控制屏障函数确保飞行器在控制能力下降时仍安全
  • 适合对安全性要求高的无人机、机器人等实时控制系统

任务关键型智能系统常面临随时间变化的约束,导致控制能力下降和可接受安全操作范围缩小。传统基于正常条件学习的安全证书可能因此失效。本文提出一种感知退化的数据驱动安全过滤框架,从运行数据中学习安全集,并在线更新,通过时变控制屏障函数(CBF)实现安全约束。首先利用径向基函数核支持向量机(RBF-SVM)从数据中学习初始安全包络,其决策函数作为初始CBF候选。为捕捉能力退化引起的安全集收缩,设计了连续时间递减SVM更新律,根据退化信号逐步降低选定的支持向量系数。引入同伦平滑的SVM-CBF,避免在活动集切换时出现不连续的屏障跳变。最终通过二次规划安全滤波器施加时变学习屏障,在输入约束受限条件下保持安全。理论证明了学习到的时变安全集前向不变性及安全滤波器的递归可行性。垂直起降(VTOL)模型仿真表明,该方法在控制能力下降时仍能维持安全,且在安全集收缩过程中避免了突变的屏障切换效应。

原文摘要 · Abstract (English)

Mission-critical intelligent systems often operate under time-varying limitations that reduce control authority and change the admissible safe operating envelope. In such settings, a safety certificate learned under nominal conditions may become invalid as system capability changes. To address this challenge, this paper proposes a degradation-aware, data-driven safety-filtering framework that learns a safe set from data, updates it online, and enforces the resulting learned barrier through a time-varying control barrier function (CBF). A nominal safe envelope is first learned from operational data using a radial basis function (RBF)-kernel support vector machine (SVM), whose decision function serves as the initial CBF candidate. To capture capability-induced safe-set contraction, a continuous-time decremental SVM update law is developed so that selected support-vector coefficients are reduced according to a degradation signal. A homotopy-smoothed SVM-CBF is then introduced to avoid discontinuous changes in the learned barrier during active-set transitions. The resulting time-varying learned barrier is enforced using a quadratic-program-based safety filter under degraded input constraints. Forward invariance of the learned time-varying safe set and recursive feasibility of the safety filter are established. Simulation results on a vertical takeoff and landing (VTOL) model show that the proposed method maintains safety under reduced control authority and avoids abrupt barrier-switching effects during safe-set contraction.

安全控制在线学习强化学习

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