分布参数与集中参数耦合系统的极点配置和镇定向题

POLE ASSIGNMENT AND FEEDBACK STABILITY FOR DISTRIBUTED PARAMETER SYSTEM COUPLED WITH LUMPED PARAMETER SYSTEM

中文摘要

      在工程控制系统中很重要的情形是受控对象是分布参数系统，由网络组成的装置——控制器是由正常微分方程描述的集中参数系统。本文第一部分的讨论表明，通过控制器的设计和观测位置的选择，能使分布参数系统和集中参数系统闭合形成的耦合闭环系统的算子具有预先指定的点谱。本文的第二部分给出了能使耦合闭环系统渐近稳定的必要条件和充分条件。

英文摘要

      In an engineering control system it is of great importance that the control object is described by a distributed parameter system while the controller is governed by a lumped parameter system. The first part of the paper indicates that the operator of the closed loop system formed by associating distributed parameter system with lumped parameter system may have the assignable point of the spectrum by designing the controller and choosing the location of the observator. In the second part, we give a necessary condition and a sufficient condition for the feedback stability of the distributed parameter system coupled with the lumped parameter system.