l2–l∞ Elimination of overflow oscillations in interfered digital filters with saturation arithmetic

This paper deals with the problem of l₂-l_∞ elimination of overflow oscillations in fixed-point state-space digital filters with saturation nonlinearities and external interference. By utilizing several free-weighting matrices, a new sufficient condition for asymptotic stability with l₂-l_∞ performance of the underlying digital filter is derived. A numerical example is given to illustrate the effectiveness of the presented approach.