摘要
长期以来,极点配置一直是控制系统设计的最基本问题之一.1968年 W.M.Won-ham 证明了能控性和状态反馈自由配置极点的等价关系.以后,又发现除了 SISO 系统配置同样一组极点会有许多的线性反馈方案,这些选择的自由可以进一步用来改造系统的品质.B.C.Moore 考虑利用它来配置特征向量.众所周知,对于线性自主系统 (?)(t)=Ax(t),特征值和特征向量完全决定了系统的性质。
In this paper,the problem of eigenstructure assignment is dealt with using a geometricapproach.The characterization of assignable eigenstructure is advanced and the equivalencebetween the dynamic compensator and a kind of minimal-dimensional (A,B) invariant subspa-ces is verified.The algorithm for such subspaces and a formula for the minimal dimensionare given.An example is provided to illustrate the process of design.
出处
《系统科学与数学》
CSCD
北大核心
1989年第3期222-234,共13页
Journal of Systems Science and Mathematical Sciences
