一种改进的有限频域状态反馈H∞控制方法研究

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摘要以广义KYP引理为基础，提出并理论推导了一种改进的有限频域状态反馈H∞控制方法，控制所需参数更少。以某四分之一主动悬架系统为研究对象，以提高人体最为敏感的4~8Hz频域范围内的振动控制效果为目标，应用该方法为其设计了有限频域状态反馈H∞控制器。最后，通过随机激励仿真对控制器的控制效果进行了验证。仿真结果表明：与被动无控制状态相比，全频域和有限频域状态反馈H∞控制下车体加速度均方根值分别降低了28.16%和65.23%，对数据的频域分析表明，改进的有限频域状态反馈H∞控制器能够在满足控制约束的条件下更好的抑制4~8Hz频域范围内的振动。

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	王兴野
	张进秋
	刘义乐
	毕占东
	李国强

关键词 ：有限频域；状态反馈；H&infin, 控制；线性矩阵不等式

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)

收稿日期: 2017-10-13 出版日期: 2019-02-28

引用本文:

王兴野，张进秋，刘义乐，毕占东，李国强. 一种改进的有限频域状态反馈H∞控制方法研究[J]. 振动与冲击, 2019, 38(5): 135-141.
WANG Xingye, ZHANG Jinqiu, LIU Yile, BI Zhandong, LI Guoqiang. An improved state feedback H∞ control method within a finite frequency domain. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(5): 135-141.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I5/135

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