Pole assignment in descriptor periodic systems

Hung Yuan Fan*, Wen Wei Lin, Shufang Xu

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper a pole assignment problem is considered for the descriptor linear discrete-time periodic systems, which is using the periodic proportional-derivative feedback to modify a given system such that the closed loop system has a specified self-conjugate set of eigenvalues. It is shown that the complete reachability of an open loop periodic system is equivalent to the possibility of assigning an arbitrary set of the eigenvalues to the system by choosing the suitable periodic proportional-derivative feedback. A computational approach is also proposed to solve the problem, which uses the reliable numerical techniques based on the orthogonal transformations. Numerical examples are presented to illustrate the effectiveness of the proposed approach.

原文英語
頁(從 - 到)1309-1332
頁數24
期刊Science in China, Series A: Mathematics
48
發行號10
DOIs
出版狀態已發佈 - 2005 10月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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