Active vibration control of flexible structure by frequency-shaped sliding mode control with μ synthesis theory

Takayuki Ito, Kenzo Nonami, Kousuke Iwamoto, Hidekazu Nishimura

Research output: Contribution to journalArticle


This paper proposes a new design method for a sliding mode control system using μ synthesis theory. This concept is based on a frequency-shaped approach. A general hyperplane consists of a reference model without dynamics. Therefore, a conventional sliding mode control system often becomes unstable due to spillover phenomena of high frequency caused by high-speed switching. The proposed design method suppresses such spillover phenomena because of frequency shaping. Also, it has good robustness on the hyperplane to realize a minimum value of H∞ norm and the structured singular value from some noise to state variables. We have just applied this new method to the flexible structure of a test rig with four stories such as a high-rise building. We have obtained good performance from simulations and experiments.

Original languageEnglish
Pages (from-to)3850-3857
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number602
Publication statusPublished - 1996 Jan 1
Externally publishedYes


ASJC Scopus subject areas

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

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