摘要
本文提出了一个线性系统极点配置的有效算法,首先利用正交变换将能控系统简化成上Hessenberg能控标准型,然后利用(A,B)特征子空间找出闭环系统关于指定复数集所有可能的特征向量,从中选取一组线性无关的向量{x_1,…x_n}作为闭环系统的特征向量,使得max{c_k,k∈n}极小,最后由x={x_1,…x_n}找出反馈阵F,使得闭环系统(A+BF,B)的极点集等于L。
An algorithm is suggested for solving the pole assignment problem by state feedback. We search a set of vectovs for every X,e L which is a desired pole set based on the structure of (A,B) characteristic subspace, and choose n linear independent eigenvectors X=(x1,x2,xn) of closed loop system from those
vectors set to make max {ck ,k n}minimization. Then, we compute the feed-back matrix F according to X
such that the set of poles of system (A+BF,B) is same as L.
出处
《系统仿真学报》
CAS
CSCD
1992年第A00期36-41,共6页
Journal of System Simulation
基金
国家自然科学基金资助
关键词
极点配置
优化算法
线性系统
Pole Assignment, Optimization Algorithm, Robust, Linear system
