Strong stabilization of the SCOLE model using a tuned mass damper

Xiaowei Zhao, George Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study the vibration reduction of the non-uniform SCOLE (NASA Spacecraft Control Laboratory Experiment) model representing a vertical beam clamped at the bottom, with a rigid body having a large mass on top, using a Tuned Mass Damper (TMD). The TMD is a heavy trolley mounted on top of the rigid body, connected to the rigid body via a spring and a damper. Such an arrangement is used to stabilize tall buildings. Using our recent well-posedness and strong stabilization results for coupled impedance passive linear time-invariant systems (possibly infinite-dimensional), we show the following: The SCOLE system with the trolley is well-posed and regular on the energy state space with the force or torque acting on the rigid body as input and with the speed or angular velocity of the rigid body as output, and this system is strongly stable on the energy state space.

Original languageEnglish
Title of host publicationSIAM Conference on Control and Its Applications 2015
EditorsCatherine Bonnet, Hitay Ozbay, Bozenna Pasik-Duncan, Qing Zhang
PublisherSociety for Industrial and Applied Mathematics (SIAM)
Pages447-453
Number of pages7
ISBN (Electronic)9781510811539
DOIs
StatePublished - 2015
EventSIAM Conference on Control and Its Applications 2015 - Paris, France
Duration: 8 Jul 201510 Jul 2015

Publication series

NameSIAM Conference on Control and Its Applications 2015

Conference

ConferenceSIAM Conference on Control and Its Applications 2015
Country/TerritoryFrance
CityParis
Period8/07/1510/07/15

Keywords

  • Coupled system
  • Impedance passivity
  • SCOLE model
  • Strong stability
  • Well-posed linear system

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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