An improved state feedback H&infin; control method within a finite frequency domain

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (5) : 135-141.

An improved state feedback H∞ control method within a finite frequency domain

WANG Xingye, ZHANG Jinqiu, LIU Yile, BI Zhandong, LI Guoqiang

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Abstract

Based on the generalized KYP lemma, an improved state feedback H∞ control method within a finite frequency domain was proposed and theoretically derived to need less control parameters. Taking a certain 1/4 active suspension system as the study object and the optimal vibration control effect within the frequency range of 4—8 Hz being the most sensitive to human body as the objective, a state feedback H∞ controller within a finite frequency domain was designed using the proposed method. Finally, its control effect was verified through random excitation simulation. The results showed that compared with the passive and no control states, the root mean square value of the vehicle body acceleration under the state feedback H∞ control within the whole frequency domain and that within a finite frequency domain decrease by 28.16% and by 65.23%, respectively; through data analysis in frequency domain, the improved state feedback H∞ control method within a finite frequency domain can better suppress vibration within the frequency range of 4—8 Hz under the condition to satisfy control constraints.

Key words

finite frequency / state feedback / H&infin / control / Linear Matrix Inequality (LMI)

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WANG Xingye, ZHANG Jinqiu, LIU Yile, BI Zhandong, LI Guoqiang. An improved state feedback H∞ control method within a finite frequency domain[J]. Journal of Vibration and Shock, 2019, 38(5): 135-141

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