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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| Published in | International journal of control, automation, and systems Vol. 20; no. 6; pp. 1841 - 1848 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| 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 |
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| Abstract | 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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| AbstractList | 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. 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. KCI Citation Count: 3 |
| Author | Gao, Fang Chen, Wenbin |
| Author_xml | – sequence: 1 givenname: Fang orcidid: 0000-0002-4792-4695 surname: Gao fullname: Gao, Fang email: gaof1988@126.com organization: College of Physics and Electronic Information, Anhui Normal University – sequence: 2 givenname: Wenbin surname: Chen fullname: Chen, Wenbin organization: College of Physics and Electronic Information, Anhui Normal University, School of Automation, Nanjing University of Science and Technology |
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| Keywords | Admissible disturbance rejection singular time-delay system equivalent input disturbance (EID) linear matrix inequality |
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| SubjectTerms | Control Disturbances Engineering Feedback control Linear matrix inequalities Mathematical analysis Mechatronics Regular Papers Rejection Robotics State feedback Time delay systems 제어계측공학 |
| Title | Disturbance Rejection in Singular Time-delay Systems with External Disturbances |
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