Boundary Controller Design for a Class of Horizontal Belt Transmission System with Boundary Vibration Constraint

Runhuan Sun, Li Tang and Yanjun Liu
Additional contact information
Runhuan Sun: College of Science, Liaoning University of Technology, Jinzhou 121001, China
Li Tang: College of Science, Liaoning University of Technology, Jinzhou 121001, China
Yanjun Liu: College of Science, Liaoning University of Technology, Jinzhou 121001, China

Mathematics, 2022, vol. 10, issue 9, 1-19

Abstract: In this paper, the problem of transverse vibration suppression of a belt system moving in the horizontal direction is investigated. This system is characterized by the boundary vibration constraint and is affected by external disturbances. For it, we introduced a logarithmic function in the candidate term of the Lyapunov function and used a symbolic function in the controller to compensate for the effects of boundary vibration constraints and boundary disturbances, respectively. In order to better achieve the control objective, we designed a boundary control scheme. The state feedback boundary controller was designed using the boundary signals of the system when they can be available directly. Considering the presence of noise in the practical system, some system signals cannot be measured accurately. Therefore, a high-gain observer was introduced to estimate these signals, and an output feedback boundary controller was designed. Finally, the simulation example showed that both controllers guarantee effective suppression of the transverse vibration of the system without violating the boundary vibration constraints.

Keywords: distributed parameter systems; high-gain observer; output feedback boundary controller; state feedback boundary controller (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/9/1391/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/9/1391/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:9:p:1391-:d:798766

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().