Spillover instability of a flexible structure equipped with a modal filter

Shinji Hokamoto, Norihiro Goto

Research output: Contribution to journalArticlepeer-review


Modal instability due to spillover is investigated of a flexible vibration control system that employs a modal filter as the state estimator. First the characteristic equation of the closed-loop system containing actuators, sensors and a modal filter is derived in a determinantal form. Then it is shown that the characteristic equation can be expanded in a mathematically tractable form. By applying the perturbation technique to the expanded characteristic equation, a criterion is obtained that determines whether or not a residual mode is destabilized. Finally it is proved through the use of the criterion that the control system equipped with one actuator and one sensor always has unstable modes if they are non-colocated.

Original languageEnglish
Pages (from-to)363-376
Number of pages14
JournalMemoirs of the Kyushu University, Faculty of Engineering
Issue number4
Publication statusPublished - Dec 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Energy
  • Atmospheric Science
  • General Earth and Planetary Sciences
  • Management of Technology and Innovation


Dive into the research topics of 'Spillover instability of a flexible structure equipped with a modal filter'. Together they form a unique fingerprint.

Cite this