摘要
针对广义系统的反馈稳定性问题,该文应用亚负定矩阵、矩阵的广义左逆等给出了广义系统反馈稳定性问题的一种算法。引入状态反馈律得到广义系统的闭环系统;求出该闭环系统的解;令闭环系统的解的指数部分的矩阵等于某一亚负定矩阵,即可求出使广义系统稳定的反馈矩阵。最后给出算例说明所给方法的应用。
Aiming at the problem of the feedback stability of a singular system,this paper gives an algorithm to solve this problem by using sub-negative definite matrix and generalized left inverse of matrix.The closed loop system of singular system is obtained by introducing the state feedback law;the solution of the closed loop system is obtained;the matrix in exponent of the solution of the closed loop system is let equal to a sub-negative definite matrix,then the feedback matrix which makes the singular system stable can be obtained.An example is given for the application of the method.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2011年第4期459-462,共4页
Journal of Nanjing University of Science and Technology
基金
国家自然科学基金(60674018)
江苏省高校自然科学研究计划项目(05KJD110058)
关键词
广义系统
反馈稳定性
亚负定矩阵
广义左逆
singular system
feedback stability
sub-negative definite matrix
generalized left inverse