高度机动目标Jerk模型及改进算法

针对Jerk模型常规算法跟踪Jerk机动时存在稳态确定性误差的固有缺陷，提出了Jerk模型改进算法。改进算法融合了Jerk模型及当前Jerk模型。Jerk模型描述弱Jerk机动，采用位置估计偏差和加速度变化率方差之间的关系调整系统噪声方差；当前Jerk模型描述强Jerk机动，采用修正瑞利分布描述加速度变化率方差统计特性。在滤波算法方面，引入模糊分布函数和强跟踪滤波器，改善了对弱Jerk机动的跟踪精度，并提高了对强Jerk机动的跟踪能力。理论分析和仿真结果表明，改进算法克服了Jerk模型常规算法的缺陷，能自适应地逼近不同强度的Jerk机动并进行准确跟踪。该算法在不同强度信号噪声比和不同量测噪声下，误差变化相对稳定，具有较好的跟踪精度。

An Improved Algorithm for High Maneuvering Target Based on Jerk Model

Aimed at the inherent flaws of stable deterministic error in conventional algorithm using Jerk model,a modified algorithm was proposed.Jerk model and current Jerk model were fused in the improved algorithm.Weak Jerk maneuver was described by using Jerk model and its system noise variance was adjusted by using the relations of position estimation error and acceleration change rate variance.The strong Jerk maneuver was described by using the current Jerk model,and the statistical characteristics of acceleration change rate variance was depicted by using modified Rayleigh distribution.The tracking accuracy for weak Jerk maneuver was improved,and the tracking ability for strong Jerk maneuver was enhanced by introducing fuzzy distribution function and strong track filter.The theoretical analysis and simulation results show that the defect of conventional Jerk model algorithm is overcome by using the improved algorithm,Jerk sudden maneuver with various intensity can be approached adaptively.Under different intensity signal-to-noise ratios and gauging noises,its error is relatively stable and it has better tracking accuracy.