Active Vibration Control of Multi-Degree of-Freedom Systems by H Optimal Control Theory (Comparison between H Optimal Control and Frequency-Shaped LQG Control)

Weimin Cui, Kenzo Nonami, Hidekazu Nishimura

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This Paper describes a general control system design method for vibration of a multi-degree-of-freedom system. A H controller designed on the reduced order model makes the closed loop system not only cause no spillover phenomena, but also control the vibration on the actual model. The solution to H output feedback control problems is used to design the H controller. With the result of calculating the example of the four-degree-of-freedom model, the efficiency of the control system is verified. Also, the frequency-shaped LQG control desigh is made in comparison with the H optimal control. It has been clear that both control methods have robustness to the spillover caused by the reduced-order model in the case of the same weighting functions. The most important result is that the H optimal control has strongly robust stability to parameter variations, while the frequency-shaped LQG control does not.

Original languageEnglish
Pages (from-to)2859-2865
Number of pages7
Journaltransactions of the japan society of mechanical engineers series c
Issue number553
Publication statusPublished - 1992
Externally publishedYes


  • Active Vibration Control
  • Frequency-Shaped LQG
  • H Optimal Control
  • Parameter Variations
  • Robust Control
  • Spillover

ASJC Scopus subject areas

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


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