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本文提出了一种用H~∞控制理论设计多变量系统的最优敏感性控制器的方法。方法通过敏感性函数矩阵解耦,将多变量系统的H~∞最优敏感性设计问题化为若干个单交量的同样问题。文章证明了系统的解耦最优敏感性是唯一的;给出了在多变量情况下如何用真的次优控制器近似非真的最优控制器的方法;最后用算例说明了设计过程。
This paper presents a method of designing the optimal sensitivity controller for multivariable systems using H ~ ∞ control theory. In the method, the H ~ ∞ optimal sensitivity design problem of multivariable system is transformed into the same problem of several single-volume by the decoupling of sensitivity function matrix. The article proves that the optimal decoupling sensitivity of the system is unique. The method of how to use the true suboptimal controller to approximate the non - true optimal controller under multivariable conditions is given. Finally, an example is given to illustrate the design process .