Abstract

A variant of the synthesis method for controlling a linear MIMO system by an output vector is developed that provides the given spectrum of a multidimensional dynamic system in the state space. It is based on the principle of duality of the task of controlling a MIMO system by a state vector and the task of constructing a state observer. The algorithm, without any changes, is applicable for both continuous and discrete cases of describing the mathematical model of the MIMO system, has no restrictions on specifying the spectrum’s elements of the closed MIMO system, and allows us to obtain synthesis problems in analytical form and to parameterize the set of equivalent control laws with feedback. An example of an analytical synthesis of the control law of a hypothetical aircraft is given.

中文翻译：

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使用多级分解通过测量矢量控制线性MIMO系统

摘要

开发了用于通过输出矢量控制线性MIMO系统的综合方法的一种变体，该变体在状态空间中提供了多维动态系统的给定频谱。它基于通过状态向量控制MIMO系统的任务和构造状态观察器的任务的双重性原则。该算法无任何更改，适用于描述MIMO系统数学模型的连续和离散情况，对指定封闭MIMO系统的频谱元素没有限制，并允许我们获得解析形式的综合问题。用反馈参数化等效控制律的集合。给出了一个假设飞机的控制律的分析综合实例。