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一、引言 统计方法研究随机输入作用下的随动系统,是自动控制理论中重要方法之一。它由于具备下列两个特点而受到人们的重视:1.从统计观点考虑了系统实际输入的外作用;2.采用了比较直接的输入输出间的误差均方值作为衡量系统的质量指标。不过采用这种方法所导出的最佳传递函数,在实际工程中往往难以实现,应用上受到很大限制。别列格林[1]曾提出一个最佳传递函数的求导方法,但存在着严重错误[2],利用他的方法不但不能保证系统误
I. INTRODUCTION Statistical Methods Studying the servo system under random input is one of the important methods in automatic control theory. It has received people’s attention due to the following two characteristics: 1. From the statistical point of view, the actual input of the system has been taken into consideration; 2. The mean square error between input and output has been adopted as the quality indicator of the system. However, the optimal transfer function derived by this method is often difficult to be implemented in practical projects, and the application is greatly limited. Berezinger [1] proposed a derivation method for the optimal transfer function, but there were serious errors [2]. Using his method not only failed to guarantee system error