Active wave suppression in the interior of a one-dimensional domain. (February 2019)

• Record Type: Journal Article
• Authors: Sirota, Lea; Annaswamy, Anuradha M.
• Is Part Of: Automatica. Volume 100(2019)
• Page Start: 403
• Page End: 406
• Publication Date: 2019-02
• Subjects: Wave suppression -- Uni-directional waves -- Active interior absorber; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.11.030
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: We consider the problem of creating an absorber in the interior of a system that supports one-dimensional wave propagation, such as a waveguide, using active control. The control goal is suppression of wave propagation beyond a prescribed region of the waveguide, but without perturbing the propagation within that region. Unlike boundary control, achieving full absorption in the interior introduces a challenge of creating both a non-transmitting and a non-reflecting sink. We overcome this challenge by introducing a near uni-directional control wave which is accomplished by using two concentrated actuators. The residual back-action wave is minimized based on the available control energy. We employ this control wave in two algorithms, a feed-forward and a feedback one, which we denote by Interior Wave Suppression. We illustrate the theoretical results through numerical simulation of an acoustic waveguide example.