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八十年代以来,国外出现了线性多变量控制系统的H~∞设计方法.它以稳定的传递函数矩阵的线性空间即H~∞空间的某种范数作为系统的性能指标。设计目标是在可能发生的最坏干扰下使系统的误差在这种范数的意义下为最小。这样控制系统的设计就归结为一个“极小极大’问题。H~∞设计方法近年来发展迅速,受到很多人应有的注意。有人把它说成是控制理论的“一场静悄悄的革命”。但是迄今为止H~∞方法还是一种正在发展的方法,因此也有许多科学家目前对它还持观望态度。
Since the 1980s, a H ~ ∞ design method for linear multivariable control systems has emerged in the world, which takes the norm of a linear space of a stable transfer function matrix (H ~ ∞ space) as the performance index of the system. The design goal is to minimize the error of the system in the sense of this norm under the worst possible interference. The design of such a control system comes down to a problem of “minimal maxima.” The H ~ ∞ design method has been rapidly developed in recent years and deserved the attention of many people. Some people regard it as a theory of control Revolution. "However, H ~ ∞ has so far been a method under development, and many scientists are currently on the sidelines of it.