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使系统输出值偏离给定值的方差为最小的控制叫最小方差控制。K.J.Astrom给出单输入单输出系统的最小方差控制规律。L.Keviczky等和卢桂章等分别讨论了多变量系统的最小方差控制,他们将Astrom所用的模型推广到多变量的情况。A.K.Sinha用脉冲传递函数矩阵来讨论这个问题,他用使传递矩阵主对角占优的方法将多变量系统简化为若干个单输入单输出系统,然后采用Astrom的方法建立最小方差控制规律。本文采用脉冲传递矩阵模型,提出最小方差控制的另一种控制算法。
The control that minimizes the variance of the system output value from the given value is the minimum variance control. K.J. Astrom gives the single-input single-output system minimum variance control law. L. Keviczky et al. And Lu Guizhang discussed the minimum variance control of multivariable systems, respectively, and extended the model used by Astrom to multivariable cases. A. K. Sinha discusses this problem with a matrix of impulsive transfer functions. He simplifies the multivariable system into several single-input and single-output systems by using the dominant diagonal dominant of the transfer matrix, and then uses the Astrom method to establish the minimum variance control law. In this paper, a pulse transfer matrix model is proposed to propose another control algorithm of minimum variance control.