TY - JOUR
T1 - Active Vibration Control of Multi-Degree of-Freedom Systems by H∞ Optimal Control Theory (Comparison between H∞ Optimal Control and Frequency-Shaped LQG Control)
AU - Cui, Weimin
AU - Nonami, Kenzo
AU - Nishimura, Hidekazu
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
KW - Active Vibration Control
KW - Frequency-Shaped LQG
KW - H Optimal Control
KW - Parameter Variations
KW - Robust Control
KW - Spillover
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U2 - 10.1299/kikaic.58.2859
DO - 10.1299/kikaic.58.2859
M3 - Article
AN - SCOPUS:3342960632
VL - 58
SP - 2859
EP - 2865
JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
SN - 0387-5024
IS - 553
ER -