Gain-scheduled control of a smart structure with identification of a crack

Kiyoshi Takagi, Muneharu Saigo, Hidekazu Nishimura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper deals with damage detection and vibration control of a smart structure. A finite element model of a cracked beam is established. This model is applied to a cantilever beam and the natural frequencies are determined for a different crack length and locations. This study proposes a method for the crack identification when the vibration of the beam is suppressed by using active control. Once cracks are present in structures, the control performance becomes worse. This is because both eigenvalue and eigenvector of the beam vary. So, in this study we design the gain-scheduled controller considering both the crack length and the location. To obtain the linear parameter-varying (LPV) model for controller design, its Frobenius norm is measured. The efficiencies of our crack identification method and the gain-scheduled controller design are verified by simulation.

Original languageEnglish
Pages (from-to)1574-1582
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number5
Publication statusPublished - 2005 May
Externally publishedYes


  • Damage Detection
  • Gain Scheduling
  • LMI
  • Robust Control
  • Vibration Control

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


Dive into the research topics of 'Gain-scheduled control of a smart structure with identification of a crack'. Together they form a unique fingerprint.

Cite this