HControl of Multi-Degree-of-Freedom Systems Using Active Dynamic Vibration Absorber (A Criterion for Design of Frequency Weighting Function)

Kenzo Nonami, Hidekazu Nishimura, Weimin Cui

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes a design method using Hcontrol theory concerning an active dynamic vibration absorber for multi-degree-of-freedom systems. In particular, the weighting functions of Hcontrol are discussed as to which one is better. We finally propose the best weighting functions for vibration control, robust stability and stroke limits of the dynamic vibration absorber in two cases, namely, a hybrid dynamic vibration absorber and an active dynamic vibration absorber. The control object is a tower structure with four degrees of freedom, two vibration modes in the lower frequency domain as the reduced order model should be controlled, and another two higher modes as the residual model should be uncontrolled on the condition of robust stability without spillover. We have confirmed the strong robustness concerning parameter variations of the spring constant and the damping constant in the case of a hybrid dynamic vibration absorber. Also, it has been made clear that an active dynamic vibration absorber designed by Hcontrol theory is effective against seismic disturbances such as the El Centro earthquake.

Original languageEnglish
Pages (from-to)1311-1317
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume58
Issue number548
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Degrees of freedom (mechanics)
Probability density function
Vibration control
Towers
Earthquakes
Damping

Keywords

  • Active Dynamic Vibration Absorber
  • Active Vibration Control
  • HControl
  • Hybrid Dynamic Vibration Absorber
  • Robust Control
  • Spillover
  • Weighting Function

ASJC Scopus subject areas

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

Cite this

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title = "H∞Control of Multi-Degree-of-Freedom Systems Using Active Dynamic Vibration Absorber (A Criterion for Design of Frequency Weighting Function)",
abstract = "This paper proposes a design method using H∞control theory concerning an active dynamic vibration absorber for multi-degree-of-freedom systems. In particular, the weighting functions of H∞control are discussed as to which one is better. We finally propose the best weighting functions for vibration control, robust stability and stroke limits of the dynamic vibration absorber in two cases, namely, a hybrid dynamic vibration absorber and an active dynamic vibration absorber. The control object is a tower structure with four degrees of freedom, two vibration modes in the lower frequency domain as the reduced order model should be controlled, and another two higher modes as the residual model should be uncontrolled on the condition of robust stability without spillover. We have confirmed the strong robustness concerning parameter variations of the spring constant and the damping constant in the case of a hybrid dynamic vibration absorber. Also, it has been made clear that an active dynamic vibration absorber designed by H∞control theory is effective against seismic disturbances such as the El Centro earthquake.",
keywords = "Active Dynamic Vibration Absorber, Active Vibration Control, HControl, Hybrid Dynamic Vibration Absorber, Robust Control, Spillover, Weighting Function",
author = "Kenzo Nonami and Hidekazu Nishimura and Weimin Cui",
year = "1992",
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AU - Nonami, Kenzo

AU - Nishimura, Hidekazu

AU - Cui, Weimin

PY - 1992

Y1 - 1992

N2 - This paper proposes a design method using H∞control theory concerning an active dynamic vibration absorber for multi-degree-of-freedom systems. In particular, the weighting functions of H∞control are discussed as to which one is better. We finally propose the best weighting functions for vibration control, robust stability and stroke limits of the dynamic vibration absorber in two cases, namely, a hybrid dynamic vibration absorber and an active dynamic vibration absorber. The control object is a tower structure with four degrees of freedom, two vibration modes in the lower frequency domain as the reduced order model should be controlled, and another two higher modes as the residual model should be uncontrolled on the condition of robust stability without spillover. We have confirmed the strong robustness concerning parameter variations of the spring constant and the damping constant in the case of a hybrid dynamic vibration absorber. Also, it has been made clear that an active dynamic vibration absorber designed by H∞control theory is effective against seismic disturbances such as the El Centro earthquake.

AB - This paper proposes a design method using H∞control theory concerning an active dynamic vibration absorber for multi-degree-of-freedom systems. In particular, the weighting functions of H∞control are discussed as to which one is better. We finally propose the best weighting functions for vibration control, robust stability and stroke limits of the dynamic vibration absorber in two cases, namely, a hybrid dynamic vibration absorber and an active dynamic vibration absorber. The control object is a tower structure with four degrees of freedom, two vibration modes in the lower frequency domain as the reduced order model should be controlled, and another two higher modes as the residual model should be uncontrolled on the condition of robust stability without spillover. We have confirmed the strong robustness concerning parameter variations of the spring constant and the damping constant in the case of a hybrid dynamic vibration absorber. Also, it has been made clear that an active dynamic vibration absorber designed by H∞control theory is effective against seismic disturbances such as the El Centro earthquake.

KW - Active Dynamic Vibration Absorber

KW - Active Vibration Control

KW - HControl

KW - Hybrid Dynamic Vibration Absorber

KW - Robust Control

KW - Spillover

KW - Weighting Function

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