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1차 시간 지연 시스템에서 고유값 배치에 따른 시스템 파라미터 결정에 관한 연구A study on the determination of system parameters according to the eigenvalue assignment for first-order time-delay systems

Other Titles
A study on the determination of system parameters according to the eigenvalue assignment for first-order time-delay systems
Authors
김범수양정현최성웅권재성
Issue Date
Mar-2020
Publisher
Institute of Control, Robotics and Systems
Keywords
Lambert W function; Rightmost eigenvalue assignment; Stability chart; Time-delay system
Citation
Journal of Institute of Control, Robotics and Systems, v.26, no.3, pp 154 - 161
Pages
8
Indexed
SCOPUS
KCI
Journal Title
Journal of Institute of Control, Robotics and Systems
Volume
26
Number
3
Start Page
154
End Page
161
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/8121
DOI
10.5302/J.ICROS.2020.19.0233
ISSN
1976-5622
Abstract
This study proposes an analytical stability region for a first-order time delay system using the Lambert W function and a geometric method. Delay-dependent and-independent stability regions were obtained by defining two functions, such that the characteristic equation is the difference of these functions. The desired rightmost real eigenvalue was assigned. Moreover, the corresponding system parameters were determined. Oscillation or unstable systems can be exponentially stabilized by static state feedback, in which the feedback gain sets are analytically determined using the results of the stability region. The effectiveness of the proposed approach was demonstrated through numerical examples. ? ICROS 2020.
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해양과학대학 > 기계시스템공학과 > Journal Articles

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