针对移动目标的非线性融合集员滤波定位OA
Nonlinear Fusion Set-membership Filtering Localization for Moving Targets
针对基于接收信号强度指数(Received Signal Strength Indicator,RSSI)的移动目标室内定位问题,本文提出一种自适应的非线性融合集员滤波(Nonlinear Fusion Set-membership Filtering,NFSMF)算法.首先基于区间数学理论确定了非线性系统线性化时高阶余项的边界,减少了线性化非线性系统产生的误差.其次,通过求解特定的半正定规划(Semi-definite Programming,SDP)问题自适应获得当前定位环境下局部滤波器所需的动态参数.接着将局部传感器的所有数据信息处理并利用信息共享系数融合计算出包含移动目标位置坐标的椭圆区域.最后,通过实验和仿真验证了所提出算法的有效性.结果表明,在相同的定位环境下,NFSMF与现有的算法相比定位精度更高,平均定位误差小于0.2 m,并可获得包含目标真实位置的最优椭圆区域.
This paper proposes a self-adaptive nonlinear fusion set-membership filtering(NFSMF)algorithm for indoor location of mobile targets based on received signal strength indicator(RSSI).Firstly,based on interval mathematics theory,the boundary of the high-order residual term in the linearization of nonlinear systems is determined,which reduces the error generated by linearizing nonlinear systems.Secondly,the dynamic parameters required for local filters in the current positioning environment are adaptively obtained by solving a specific semi-definite programming(SDP)problem.Then,all data information from local sensors is processed and fused using information sharing coefficients to calculate an elliptical region containing the position coordinates of the mobile tar-get.Finally,the effectiveness of the proposed algorithm is verified through experiments and simulations.The results show that in the same positioning environment,NFSMF has higher localization accuracy compared to existing algorithms,with an average position-ing error of less than 0.2 m,and can obtain the optimal elliptical region containing the true position of the target.
杨波;闫竟文;唐志明;熊涛
山西大学 数学与统计学院,山西 太原 030006山西大学 自动化与软件学院,山西 太原 030031山西大学 自动化与软件学院,山西 太原 030031山西大学 自动化与软件学院,山西 太原 030031
数理科学
室内定位接收信号强度动态参数高阶余项
indoor locationreceived signal strengthdynamic parametershigh-order remainder
《山西大学学报(自然科学版)》 2026 (4)
632-641,10
山西省科技创新人才团队专项(202204051002015)山西省自然科学基金(202203021221018)
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