一类带有有限维控制器的弹性系统的反馈控制

本文讨论一类弹性系统的反馈控制问题,它在工程上,特别是在大宇航飞行器设计中的应用是非常活跃的.我们的主要结果是:利用谱分析方法和无条件基理论证明了这类系统是严格耗散的分布参数系统,给出了该系统的降维模型可控可观的充分条件,从而设计一个有限维控制器对系统进行反馈控制,使得闭环系统具有更好的稳定性能,将文献2,3]中的结果推广到非常一般的情形.

FEEDBACK CONTROL OF A CLASS OF FLEXIBLE SYSTEMS WITH IMPLEMENTABLE FINITE DIMENSIONAL CONTROLLERS

In this paper,feedback control of a class of flexible systems with implementable finite di-mensional controllers is discussed.The main results are as follows:1)It is proved by the spectral analysis method and the unconditional base theory that thisclass of systems are strictly dissipative distributed parameter systems.2)A sufficient condition for the reduced-order models of this class of systems to becontrollable and observable is presented.3)A finite dimensional controller is designed to endow the clised-loop system with betterstable property.