【摘要】 本文应用控制理论分析了R.A.Singer零均值模型在跟踪机动目标方面的局限性;提出了一种目标加速度的截断正态概率密度模型,并将目标加速度模拟为非零均值、时间相关的随机过程;借助于切比雪夫(CHEBYSHEV) 不等式来确定目标加速度的均值和方差之间的关系,并引用卡尔曼滤波器所包含的目标机动的统计信息来实现方差自适应算法。 理论分析表明,本文的模型和算法跟踪恒加速目标时稳态偏差为零,从而消除了Singer方法在跟踪恒加速目标时所存在的稳态偏差。 计算机仿真结果证实了理论分析的结论,表明本文提出的模型和采用的算法能够较好地跟踪高度机动目标。更多还原

【Abstract】 A new method for the three-dimensional airborne maneuvering target trucking problem is presented. In this method the unknown target acceleration is considered as a time-correlated random process with nor-zero mean values and the density function of the acceleration is assumed to be truncated normal. The re-(?) between the random acceleration’s mean value and its variance is determined by Chebyehev inequality. With this method, the steady-state values of dynamic errors of Singer’s model and algorithm in response to a unit-step acceleration input are eliminated; the improved tracking accuracy is achieved with a normal acceleration maneuvering motion input under the measurement matrix to be nonlinear functions of the state variables.更多还原