H control of mulit-degree-of-freedom structures by hybrid dynamic vibration absorber (Experimental consideration of robustness and control performances)

Hidekazu Nishimura, Kenzo Nonami, Weimin Cui, Akio Shiba

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This study realizes robust vibration control for a multi-degree-of-freedom structure with a hybrid dynamic vibration absorber by applying H control. The controller for the hybrid DVA is shaped in frequency domain for a four-degree-of-freedom structure in order to control the vibration of the first and second modes as the reduced order model and to stabilize the third and fourth modes as the residual model. The stroke of the hybrid DVA is taken into account as a constrained function in criteria. The active DVA is also designed by using just the same frequency weighting functions as used in the design of the hybrid DVA. The vibration control performance is clarified by carrying out numerical calculations and experiments. In experiments, the H controller designed in a continuous system is digitized, and is realized in a digital signal processor. It has been made clear that even the hybrid DVA and the active DVA have the same vibration control performance for both stationary and nonstationary random excitations, while the active DVA exhibits undershoot phenomena. Also, we have confirmed that the hybrid DVA has strong robustness against parameter variations of both the mass of the primary structure and the spring and damping constants of the hybrid DVA.

Original languageEnglish
Pages (from-to)714-720
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume59
Issue number559
Publication statusPublished - 1993 Mar
Externally publishedYes

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Degrees of freedom (mechanics)
Vibration control
Robustness (control systems)
Controllers
Digital signal processors
Robust control
Probability density function
Damping
Experiments

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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abstract = "This study realizes robust vibration control for a multi-degree-of-freedom structure with a hybrid dynamic vibration absorber by applying H∞ control. The controller for the hybrid DVA is shaped in frequency domain for a four-degree-of-freedom structure in order to control the vibration of the first and second modes as the reduced order model and to stabilize the third and fourth modes as the residual model. The stroke of the hybrid DVA is taken into account as a constrained function in criteria. The active DVA is also designed by using just the same frequency weighting functions as used in the design of the hybrid DVA. The vibration control performance is clarified by carrying out numerical calculations and experiments. In experiments, the H∞ controller designed in a continuous system is digitized, and is realized in a digital signal processor. It has been made clear that even the hybrid DVA and the active DVA have the same vibration control performance for both stationary and nonstationary random excitations, while the active DVA exhibits undershoot phenomena. Also, we have confirmed that the hybrid DVA has strong robustness against parameter variations of both the mass of the primary structure and the spring and damping constants of the hybrid DVA.",
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AU - Nonami, Kenzo

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AU - Shiba, Akio

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AB - This study realizes robust vibration control for a multi-degree-of-freedom structure with a hybrid dynamic vibration absorber by applying H∞ control. The controller for the hybrid DVA is shaped in frequency domain for a four-degree-of-freedom structure in order to control the vibration of the first and second modes as the reduced order model and to stabilize the third and fourth modes as the residual model. The stroke of the hybrid DVA is taken into account as a constrained function in criteria. The active DVA is also designed by using just the same frequency weighting functions as used in the design of the hybrid DVA. The vibration control performance is clarified by carrying out numerical calculations and experiments. In experiments, the H∞ controller designed in a continuous system is digitized, and is realized in a digital signal processor. It has been made clear that even the hybrid DVA and the active DVA have the same vibration control performance for both stationary and nonstationary random excitations, while the active DVA exhibits undershoot phenomena. Also, we have confirmed that the hybrid DVA has strong robustness against parameter variations of both the mass of the primary structure and the spring and damping constants of the hybrid DVA.

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