Disturbance Rejection in Singular Time-delay Systems with External Disturbances

This paper considers an active disturbance rejection problem of a singular time-delay system with unknown external disturbances. By using an equivalent-input-disturbance (EID) technique, an EID estimation is developed to compensate the adverse effect of external disturbance on the system. Moreover,...

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Bibliographic Details
Published inInternational journal of control, automation, and systems Vol. 20; no. 6; pp. 1841 - 1848
Main Authors Gao, Fang, Chen, Wenbin
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2022
Springer Nature B.V
제어·로봇·시스템학회
Subjects
Control
Disturbances
Engineering
Feedback control
Linear matrix inequalities
Mathematical analysis
Mechatronics
Regular Papers
Rejection
Robotics
State feedback
Time delay systems
제어계측공학
Admissible
disturbance rejection
singular time-delay system
equivalent input disturbance (EID)
linear matrix inequality
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Summary:This paper considers an active disturbance rejection problem of a singular time-delay system with unknown external disturbances. By using an equivalent-input-disturbance (EID) technique, an EID estimation is developed to compensate the adverse effect of external disturbance on the system. Moreover, a new criterion for admissible of singular time-delay system is obtained in term of strict linear matrix inequality without equality constraint. And on this basis, a sufficient condition is acquired to pledge the EID-based singular time-delay control system to be admissible. Accordingly, state feedback control gain is obtained via the sufficient condition. Two numerical examples are carried out to demonstrate the feasibility and the validity of our method.
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http://link.springer.com/article/10.1007/s12555-021-0123-z
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-021-0123-z