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再生反馈跟踪系统是对大动态目标进行精密跟踪的有效体制。由于这种体制是多输入、多输出的非线性系统,过去只能用计算机对系统非线性动力学方程组求数值解的方法对系统进行定量的研究。本文利用时域算子的方法建立了系统的数学模型,并且得到了系统跟踪精度计算的解析表达式。分析结果表明,系统跟踪的目标机动飞行误差和随机误差归结为直角座标内定常线性系统的分析计算问题,而系统跟踪的失配误差则是球座标内定常线性系统的分析计算问题。因此,所得结果非常适于工程计算和设计。
The regenerative feedback tracking system is an effective system for precision tracking of large dynamic targets. Because this system is a multi-input, multi-output nonlinear system, in the past, the system can only be quantitatively studied by using the computer to solve the system of nonlinear dynamic equations by numerical solution. In this paper, the mathematical model of the system is established by using the method of time-domain operator, and the analytic expression of the tracking accuracy of the system is obtained. The analysis results show that the target maneuver flight errors and random errors tracked by the system are attributed to the analysis and calculation of the stationary linear systems with rectangular coordinates. The mismatch errors of the system tracking are the analytical problems of the stationary linear systems with spherical coordinates. Therefore, the results are very suitable for engineering calculations and design.