论文标题
解决摩根问题
Solution to Morgan Problem
论文作者
论文摘要
在本文中，首先详细介绍了有关摩根问题，信号流图和可控制的线性时间不变标准系统的一些初步。为了分别分别分析为解耦系统的必要条件，第一个和第二个必要条件，以及分别分析可控制的线性时间不变系统的足够条件。因此，推导分离系统不可控制的子系统的内部稳定性，同时推导了解耦系统不可控制的子系统的内部稳定性。然后，在引入其解耦状态的同时，将脱钩系统的可控子系统的极点分配。最后，两个示例与它们相应的信号流程图结合在一起，显示了本文中描述的必要条件和充分条件的简单性和可行性。
In this paper, some preliminaries about Morgan problem, signal flow graph and controllable linear time-invariant standard system are first introduced in detail. In order to synthesize the necessary and sufficient condition for decoupling system, the first and second necessary conditions, and a sufficient condition for decoupling a controllable linear time-invariant system are secondly analyzed respectively. Therefore, the nonregular static state feedback expression for decoupling system that ensures the internal stability of the uncontrollable subsystem of the decoupled system at the same time is deduced. Then the pole assignment for the controllable subsystem of a decoupled system while ensuring its decoupled state is introduced. Finally, two examples combined with their corresponding signal flow graphs show the simplicity and feasibility of the necessary and sufficient condition for decoupling system described in the paper.
