基于卡尔曼滤波的目标跟踪系统的建模与仿真

Modeling and Simulation of Target Tracking System Based on Kalman Filter

为了提高对高速飞行目标的跟踪精度,采用kalman滤波算法建立了飞行目标跟踪系统的滤波模型,将连续系统离散化后,结合奇异值分解理论获得了离散系统方程.通过对滤波稳定性进行分析可知,所建系统模型为完全能控和完全能观的,滤波系统稳定.仿真实验结果表明,经过卡尔曼滤波算法可以精确地获得高速飞行目标的位置、速度和加速度状态信息,从而能够更精确地对高速飞行目标进行跟踪.

In order to improve the high-speed flight target tracking accuracy ,filtering model is established for the flying target tracking system using Kalman filtering algorithm .After discretization of the continuous system ,use singular value decomposition theory to obtain the discrete system equations .By the filter stability analysis ,the system model is completely controllable and observable .Thus filtering system is stable .The simulation results show that using Calman filtering algorithm can obtain accurate position ,velocity and acceleration of the high-speed flight target state information .Thus the system is able to trace the high-speed flight target more precisely .