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由白噪声激励的整形滤波器的概念被用来统计地表示具有已知形式,但起始时间随机的扰动。其结果使此类问题的协方差扩展成为可能,用描述函数的随机输入方法(即“CADET”——协方差分析描述函数技术)能把此结果推广到轻度非线性系统。还讨论了将此结果应用于伴随分析。对于简单的导弹拦截问题,此方法用来比较几种逃避机动对策,其中包括用几项付里叶分量来近似的随机起始的周期函数。CADET 用于导弹加速度 g 饱和。在所有情况下,其结果都非常接近于相应的蒙特卡罗(Monte Carlo)结果,但在计算机费用方面却大大降低了。
The concept of shaping filters that are stimulated by white noise is used to statistically represent disturbances of known form, but with a random starting time. As a result, covariance expansion of such problems is made possible, and the results can be generalized to a mildly nonlinear system using a random input method (“CADET” - Covariance Descriptive Function technique) that describes the function. We also discuss applying this result to the companion analysis. For simple missile interception problems, this method is used to compare several types of flight avoidance maneuvers, including a stochastically initial periodic function approximated by several Fourier components. CADET for missile acceleration g saturation. In all cases, the results are very close to the corresponding Monte Carlo results, but their costs for computers are greatly reduced.