综述连续时间状态估计方法,提升机器人系统精度与灵活性。
Continuous-Time State Estimation Methods in Robotics: A Survey
- 统一建模连续时间状态变量,支持任意时刻查询
- 相比离散方法显著降低传感器预处理复杂度
- 适合研究状态估计与规划控制融合的学者
随着机器人平台多样化和任务复杂性增加,精确、高效且鲁棒的状态估计变得前所未有的重要。传统上,离散时间滤波器与平滑器占据主导地位,其估计的是离散采样时刻的状态变量。连续时间状态估计提出了一种替代方案:将状态表示为时间的连续函数,可在任意查询时刻评估。这不仅有利于下游规划与控制任务,还能显著提升估计性能与灵活性,并减少传感器预处理与接口复杂度。尽管如此,连续时间方法仍应用不足,可能源于其在机器人领域认知度较低。为此,本文提出了统一的表述框架,进行了迄今为止最全面的文献综述,系统地按方法、应用、状态变量、历史背景及理论贡献对已有工作进行分类。通过联合分析样条与高斯过程,并结合其他领域成果,本文识别并分析了当前连续时间状态估计中的开放问题,提出了新的研究方向。
原文摘要 · Abstract (English)
Accurate, efficient, and robust state estimation is more important than ever in robotics as the variety of platforms and complexity of tasks continue to grow. Historically, discrete-time filters and smoothers have been the dominant approach, in which the estimated variables are states at discrete sample times. The paradigm of continuous-time state estimation proposes an alternative strategy by estimating variables that express the state as a continuous function of time, which can be evaluated at any query time. Not only can this benefit downstream tasks such as planning and control, but it also significantly increases estimator performance and flexibility, as well as reduces sensor preprocessing and interfacing complexity. Despite this, continuous-time methods remain underutilized, potentially because they are less well-known within robotics. To remedy this, this work presents a unifying formulation of these methods and the most exhaustive literature review to date, systematically categorizing prior work by methodology, application, state variables, historical context, and theoretical contribution to the field. By surveying splines and Gaussian processes together and contextualizing works from other research domains, this work identifies and analyzes open problems in continuous-time state estimation and suggests new research directions.
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