A Reduced Order Controller for Output Tracking of a Kelvin–Voigt Beam. Issue 9 (2021)

• Record Type: Journal Article
• Authors: Paunonen, Lassi; Phan, Duy
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 9(2021)
• Page Start: 452
• Page End: 457
• Publication Date: 2021
• Subjects: PDE control -- Euler-Bernoulli beam -- output tracking -- disturbance rejection -- robust output regulation -- distributed parameter system; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.06.160
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We study output tracking and disturbance rejection for an Euler-Bernoulli beam with Kelvin-Voigt damping. The system has distributed control and pointwise observation. As our main result we design a finite-dimensional low-order internal model based controller that is based on a spectral Galerkin method and model reduction by Balanced Truncation. The performance of the designed controller is demonstrated with numerical simulations and compared to the performance of a low-gain internal model based controller.