降低控制障碍函数的保守性,提升复杂环境下的安全导航能力
Safe Navigation under State Uncertainty: Online Adaptation for Robust Control Barrier Functions
- 通过泊松方程合并多个安全约束为统一数值障碍函数
- 在线参数自适应使系统在状态不确定下仍保持安全与可行
- 适用于移动机器人避障等对安全性要求高的场景
实际控制系统中测量和状态估计常不准确,给安全关键应用带来挑战,因安全保证依赖于精确的状态信息。现有鲁棒控制障碍函数(R-CBF)在存在估计误差时对输入施加严格限制,导致过于保守,引发不可行或控制努力过高等问题。本文提出一种系统性改进方法,通过基于优化的在线参数自适应机制,降低现有R-CBF的保守性。为简化参数优化复杂度,利用泊松方程将多个安全约束合并为一个统一的数值控制障碍函数。同时解决车辆跟踪中常见的双重相对阶问题。实验验证表明,该方法在多障碍物环境下显著优于现有R-CBF方案。
原文摘要 · Abstract (English)
Measurements and state estimates are often imperfect in control practice, posing challenges for safety-critical applications, where safety guarantees rely on accurate state information. In the presence of estimation errors, several prior robust control barrier function (R-CBF) formulations have imposed strict conditions on the input. These methods can be overly conservative and can introduce issues such as infeasibility, high control effort, etc. This work proposes a systematic method to improve R-CBFs, and demonstrates its advantages on a tracked vehicle that navigates among multiple obstacles. A primary contribution is a new optimization-based online parameter adaptation scheme that reduces the conservativeness of existing R-CBFs. In order to reduce the complexity of the parameter optimization, we merge several safety constraints into one unified numerical CBF via Poisson's equation. We further address the dual relative degree issue that typically causes difficulty in vehicle tracking. Experimental trials demonstrate the overall performance improvement of our approach over existing formulations.
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