Design of Distributed Interval Observers for Multiple Euler–Lagrange Systems

Zhihang Yin, Jun Huang () and Thach Ngoc Dinh ()
Additional contact information
Zhihang Yin: The School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China
Jun Huang: The School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China
Thach Ngoc Dinh: Conservatoire National des Arts et Métiers (CNAM), Cedric-Lab, 292, Rue Saint-Martin, CEDEX 03, 75141 Paris, France

Mathematics, 2023, vol. 11, issue 8, 1-13

Abstract: This paper investigates the problem of distributed interval estimation for multiple Euler–Lagrange systems. An interconnection topology is supposed to be strongly connected. To design distributed interval observers, the coordinate transformation method is employed. The construction of the distributed interval observer is given by the monotone system theory, and the stability is analyzed by the Lyapunov stability theory. Unlike the current works, each sub-interval observer has its own gain; in addition to this, additional observer gains are used to reduce the conservatism of design. The gains of all sub-interval observers are determined by both the monotone system theory and the Lyapunov stability theory. Finally, a simulation example verifies the feasibility of the presented distributed interval observers.

Keywords: distributed interval observers; multiple Euler–Lagrange systems; monotone system theory; Lyapunov stability theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/8/1872/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/8/1872/ (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:11:y:2023:i:8:p:1872-:d:1123981

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 ().