On the$l_2$-$l_infty$and$H_infty$Perform

摘要

The continuous-time deadbeat H₂finite impulse response filter (CTDH₂FF) was originally designed by Ahn to diminish the effect of external disturbances. In this brief, we provide an in-depth investigation of the CTDH₂FF and show that it also obeys the l₂-l_∞filtering performance to capture the peak value of the filter error for finite energy disturbances. We also prove that the CTDH₂FF satisfies the robust H_∞filtering performance criterion to consider the filter error energy for finite energy external disturbances. Finally, the determination of the horizon size for the CTDH₂FF considering both the l₂-l_∞and H filtering performance bounds based on a numerical example of the F-404 engine model is discussed.