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IEEE Signal Processing Society 2014 IEEE signal processing letters Vol. No.
<P>Recently, Ahn's criteria were proposed for dealing with deterministic external interference with finite energy in two-dimensional (2-D) digital filters. However, these criteria fail for cases where the 2-D filters have stochastic noise. In this letter, we propose a new criterion for overflow oscillation elimination of 2-D digital filters in the Roesser model with Wiener process noise. The criterion guarantees the asymptotic stability as well as a 2-D expected power bound. Thus, it can ascertain the attenuation of the effect of Wiener process noise to a prescribed level. This criterion is also expressed by linear matrix inequality (LMI). A numerical example is provided to show the usefulness of the proposed result.</P>
Receding-Horizon <tex> $l_{2}{-}l_{\infty}$</tex> FIR Filter With Embedded Deadbeat Property
Ahn, Choon Ki,Shmaliy, Yuriy S.,Shi, Peng,Zhao, Yuxin IEEE 2017 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS PART 2 E Vol.64 No.2
<P>This brief proposes a new finite-impulse response (FIR) receding-horizon filter for discrete-time linear systems in state space. A solution has l(2)-l(infinity) performance with the embedded deadbeat property and is called the FIR l(2)-l(infinity) filter (FIRllF). Based on the linear matrix inequality (LMI) and linear matrix equality (LME) formulations, a sufficient condition is found such that the FIRllF ascertains the guaranteed l(2)-l(infinity) performance with the deadbeat property. Using this result, we further obtain a new LMI condition for the existence of the FIRllF without using the LME. Through a numerical example, the proposed FIRllF is shown to be more robust against unexpected uncertainties than the existing l(2)-l(infinity) filter.</P>
Continuous-Time Deadbeat <tex> $H_{2}$</tex> FIR Filter
Ahn, Choon Ki,Shmaliy, Yuriy S.,Zhao, Shunyi,Li, Hongyi IEEE 2017 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS PART 2 E Vol.64 No.8
<P>This brief proposes a new continuous-time state-space H-2 finite impulse response (FIR) filter with the embedded deadbeat property for linear systems undergoing external disturbances. The new filter is called the continuous-time deadbeat H-2 FIR filter (CTDH2FF). The proposed filter demonstrates H-2 performance under disturbances and the dead-beat property otherwise. The CTDH2FF can be implemented by solving two matrix differential equations for given boundary conditions. A new formula for the minimum H-2 norm of the CTDH2FF is also discussed. Numerical simulations show that the proposed filter has much better robustness against unexpected short-term model changes than the existing filters.</P>