This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid overflow oscillations in 2-D digital filters described by a Roesser state-space model with saturation-type overflow characteristics. In contrast to the conventional approaches, the proposed overflow oscillation elimination methodology can be applied to linear parameter varying time-variant digital filters under overflow subject to both state and output disturbances. For such filters, the proposed criterion ensures the zero-input overflow stability as well as robustness against interferences with a guaranteed H∞ performance bound. A numerical example is presented to demonstrate the effectiveness of the proposed approach.
CITATION STYLE
Rehan, M., Tufail, M., & Akhtar, M. T. (2016). On elimination of overflow oscillations in linear time-varying 2-D digital filters represented by a Roesser model. Signal Processing, 127, 247–252. https://doi.org/10.1016/j.sigpro.2016.03.004
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