Two parametric approaches for eigenstructure assignment in second-order linear systems
Guangren DUAN
摘要：This paper considers eigenstructure assignment in second-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related to a type of so-called second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus nurnerically simple and reliable; the second one utilizes the right factorization of the system, and allows the dosed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effectiveness of the proposed approaches.
机标关键词：
分类号：O1(数学)
资助基金：优秀青年科学基金(69504002)
论文发表日期：2003-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：6( 59-64 )
英文信息