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传统Markov跳变系统H∞滤波方法要求所有子系统对全频域的噪声具有同样的干扰抑制水平,由于没有充分利用噪声的频率信息,导致传统滤波方法可能含有较大的保守性.本文针对特定频段的干扰信号,提出基于有限短时间的H∞滤波器设计方法.在引入有限频段的同时,结合有限短时间稳定理论,提出有限频段以及有限时间两尺度滤波方案,为降低滤波理论的工程保守性提供了思路.仿真结果表明本文所提滤波方法与现有滤波方法相比,具有一定的优越性.
The H∞ filtering method of traditional Markov transition system requires that all subsystems have the same level of interference suppression in the whole frequency domain, and the traditional filtering methods may be conservative because they do not make full use of the frequency information of noise. In this paper, Frequency band interference signal, the design method of H∞ filter based on finite short-time is proposed. At the same time with the introduction of finite frequency band, combined with finite short-term stability theory, a finite frequency band and limited time two-scale filter scheme are proposed. The simulation results show that the filtering method proposed in this paper has some advantages over the existing filtering methods.