arXiv:2606.19590cs.ROcs.SY2026-06

实时安全诊断非线性系统故障,50毫秒内精准识别11种故障模式。

Safe, Real-Time Active Model Discrimination and Fault Diagnosis for Nonlinear Systems via Differentiable Reachability

论文配图:Safe, Real-Time Active Model Discrimination and Fault Diagnosis for Nonlinear Systems via Differentiable Reachability
图 1 · 摘自论文原文
  • 用可微可达性建模,动态生成安全测试输入以区分多模型
  • 在4个机器人系统中实现<50毫秒的故障识别,成功率超基线
  • 适合高动态高安全需求场景如无人机、四足机器人故障诊断

针对存在过程与测量扰动的连续时间非线性系统,本文提出一种安全、实时的主动故障诊断与模型辨识算法。给定一组表示正常与故障模式(含执行器与传感器故障)的候选模型,我们构建一个输出反馈、时变策略优化问题:(i) 在有限时域内严格满足状态-输入安全约束;(ii) 驱动系统产生仅与最多一个模型一致的采样测量,实现确定性诊断。为实现实时求解,我们采用可达状态与输出集的区间过近似,并设计可微目标函数,通过惩罚可能模型间输出集重叠来编码可诊断性。优化问题利用JAX和可微可达性原语,通过梯度方法高效在线求解。我们在多个高维非线性机器人系统上验证该方法,包括模拟四旋翼、战斗机模型、硬件差速机器人及四足导航系统。在所有案例中,该方法在50毫秒内完成可靠模型辨识,相比基线在诊断成功率与速度上均有提升,同时提供形式化安全保证。

原文摘要 · Abstract (English)

We present a safe, real-time algorithm for active fault diagnosis and model discrimination for uncertain continuous-time nonlinear systems with process and measurement disturbances. Given a finite set of candidate models representing nominal and faulty modes, including actuator and sensor faults, we formulate an output-feedback, time-varying policy optimization problem that (i) robustly enforces state-input safety constraints over a finite horizon and (ii) drives the system to produce sampled measurements consistent with at most one model, enabling deterministic diagnosis. To solve this problem in real time, we develop a tractable approximation using interval over-approximations of reachable state and output sets, and encode diagnosability via a differentiable objective that penalizes overlap between the reachable output sets of possible models. The resulting optimization is solved efficiently online with gradient-based methods using JAX and differentiable reachability primitives. We evaluate our method on sensor and actuator fault diagnosis (up to 11 fault modes) in several high-dimensional nonlinear robotic systems, including a simulated quadrotor and fighter-jet model, a hardware differential-drive robot, and quadrupedal navigation. Across these case studies, our approach achieves reliable model discrimination in under 50 ms, outperforming baselines in discrimination success rate and speed while providing formal safety guarantees.

故障诊断非线性系统实时控制可微可达性

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