具输入饱和因子的广义系统的镇定

STABILIZATION OF SINGULAR SYSTEMS WITH INPUT SATURATING ACTUATORS

广义系统的镇定问题是广义系统理论的基本问题之一．为了研究具输入饱和因子的广义系统的镇定，首先利用代数方法，借助大系统分解原理，对具输入饱和因子的广义系统进行综合，给出闭环系统渐近稳定的判别条件．其次，给出了闭环系统Ｅ－渐近稳定的概念，利用广义Ｌｙａｐｕｎｏｖ函数方法，研究具输入饱和因子的广义系统，提出了合适的反馈控制，得到了具输入饱和因子的广义系统Ｅ－渐近稳定的判别定理．

The stabilization problem of singular systems is one of the fundamental problems in singular system theory.In order to study the stabilization of singular system with saturating actautors,first of all,the decomposing theory of large scale system and algebra method are employed to synthesize the singular systems with saturating actautors,and a sufficient condition for asymptotic stability of closed loop systems is given;secondly,the concept of E asymptotic stability is given and Lyaponov's method is employed to put forward the feedback control for the singular systems with saturating actuators.A theorem for E asymptotic stability of closed loop system is obtained.