Overview of Filtering Algorithms for Autonomous Mobile Robots

Zihao Zhang
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Abstract

In this paper, three filtering algorithms in SLAM for autonomous mobile robots will be referred to, which are Kalman Filter Family (Kalman Filter and Extended Kalman Fiter), Particle Filtering (PF) and Rao-Blackwellized Particle Filter (RBPF). For a mobile robot, localization and mapping are the key indicators that determine whether it can be called “autonomous” or not. The algorithm is the most important of them all. In the case of SLAM algorithms, there exist three algorithms based on optimization, based on filtering, and based on Georgia Tech Smoothing and Mapping (GTSAM). The filtering algorithm, as the oldest algorithm, is the focus of this paper. And a large number of existing studies in the broader literature have examined that Bayesian filtering is the basis of KF, EKF and PF. In the following paragraphs, in order to better represent the development process of filtering algorithms, we will start with Bayesian filtering and introduce its theoretical framework, as well as the origin and derivation process of several subsequent filters.
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自主移动机器人滤波算法综述
本文将介绍自主移动机器人SLAM中的三种滤波算法,分别是卡尔曼滤波族(Kalman Filter和Extended Kalman Filter)、粒子滤波(Particle filtering, PF)和Rao-Blackwellized Particle Filter (RBPF)。对于一个移动机器人来说,定位和映射是决定它是否能被称为“自主”的关键指标。算法是其中最重要的。在SLAM算法中,主要有基于优化、基于滤波和基于Georgia Tech Smoothing and Mapping (GTSAM)的三种算法。滤波算法作为最古老的算法,是本文研究的重点。而且已有的大量研究和更广泛的文献已经检验了贝叶斯滤波是KF、EKF和PF的基础。在接下来的段落中,为了更好地代表滤波算法的发展过程,我们将从贝叶斯滤波开始,介绍它的理论框架,以及后续几种滤波器的起源和推导过程。
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