ZSM-IMM and ZPRM-IMM: Two novel interacting multiple model based state estimation algorithms for stochastic switching systems under unknown but bounded noise.

Zi-Yun Wang, Yue Wang, Yan Wang
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引用次数: 0

Abstract

In this study, two novel state-estimation algorithms based on an interacting multiple model (IMM) are proposed for stochastically switched linear systems. First, a zonotopic filter is derived from segment minimization. Then, the zonotopic segment minimization based IMM algorithm is proposed, which comprises four steps: input interaction, segment minimization filtering, model probability updating, and output fusion. In addition, to avoid the upper and lower bounds of the zonotope at individual moments from wrapping around the true value, the zonotopic P-radius minimization based IMM algorithm is also studied, which creatively employs the P-radius minimization process in the zonotopic updating step and converts it into a linear matrix inequalities problem. Finally, the two proposed algorithms are verified by numerical simulation and an experimental analysis of a buck-boost circuit.

ZSM-IMM和ZPRM-IMM:两种基于交互多模型的未知有界噪声随机切换系统状态估计算法。
针对随机切换线性系统,提出了两种基于相互作用多模型(IMM)的状态估计算法。首先,利用分段最小化法推导出分区滤波器。然后,提出了基于分区分段最小化的IMM算法,该算法包括输入交互、分段最小化滤波、模型概率更新和输出融合四个步骤。此外,为了避免分区在各个时刻的上界和下界围绕真值,还研究了基于分区p -半径最小化的IMM算法,该算法创造性地在分区更新步骤中引入了p -半径最小化过程,并将其转化为线性矩阵不等式问题。最后,通过数值仿真和升压电路的实验分析验证了两种算法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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