An Improved Particle Filter Based on Robustness Factor and Weight Optimization

Zhao Hui, W. Lifen, Zhao Jiangtao, Nie Chen
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Abstract

Aiming at the problems of poor robustness and limited precision of UPF (Unscented Particle Filter) in processing nonlinear and non-Gaussian systems, this paper proposes an improved unscented particle filter algorithm based on robustness factor and weight optimization (IUPF). Combining the latest observation information, IUPF uses the more computationally efficient edge unscented Kalman filter to generate the recommended distribution, and increases the robustness factor when gross errors occur. The relatively unscented particle filter effectively avoids the problem of excessive particle weight variance.; At the same time, IUPF introduces a re-sampling method with optimized weights in the re-sampling process, which effectively solves the problem of particle depletion and improves the diversity of particles. Through theoretical derivation and simulation analysis, it can be known that the estimation accuracy of the IUPF algorithm is improved compared with the UPF algorithm, and the robustness is enhanced.
基于鲁棒性因子和权值优化的改进粒子滤波
针对Unscented粒子滤波器(Unscented Particle Filter, UPF)在处理非线性非高斯系统时鲁棒性差、精度有限的问题,提出了一种基于鲁棒性因子和权重优化(IUPF)的改进Unscented粒子滤波算法。结合最新的观测信息,IUPF使用计算效率更高的边缘无气味卡尔曼滤波来生成推荐分布,并在出现严重误差时增加鲁棒性因子。相对无味的颗粒过滤器有效避免了颗粒重量偏差过大的问题。同时,IUPF在重采样过程中引入了权值优化的重采样方法,有效解决了粒子耗尽问题,提高了粒子的多样性。通过理论推导和仿真分析可知,与UPF算法相比,IUPF算法的估计精度得到了提高,鲁棒性增强。
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