 |
HAL-LAAS Open Archive Laboratory for Analysis and Architecture of Systems |  |
Journal articles
Robust control of a cable from a hyperbolic partial differential equation model
Abstract : This paper presents a detailed study of the robust control of a cable’s vibrations, with emphasis on considering a model of infinite dimension. Indeed, using a partial differential equation model of the vibrations of an inclined cable with sag, we are interested in studying the application of H∞-robust feedback control to this infinite dimensional system. The approach relies on Riccati equations to stabilize the system under measurement feedback when it is subjected to external disturbances. Henceforth, our study focuses on the construction of a standard linear infinite dimensional state space description of the cable under consideration before writing its approximation of finite dimension and studying the H∞ feedback control of
vibrations with partial observation of the state in both cases. The closed loop system is numerically simulated to illustrate the
effectiveness of the resulting control law.
Cited literature [26 references]
https://hal.archives-ouvertes.fr/hal-01096851
Contributor : Lucie Baudouin <>
Submitted on : Monday, January 22, 2018 - 6:23:13 PM
Last modification on : Wednesday, November 25, 2020 - 4:56:03 PM
Long-term archiving on: : Thursday, May 24, 2018 - 9:17:42 AM
Contributor : Lucie Baudouin <>
Submitted on : Monday, January 22, 2018 - 6:23:13 PM
Last modification on : Wednesday, November 25, 2020 - 4:56:03 PM
Long-term archiving on: : Thursday, May 24, 2018 - 9:17:42 AM
File
BriefCable_final.pdf
Files produced by the author(s)