New results on saturation overflow stability of 2-D state-space digital filters described by the Fornasini-Marchesini second model

摘要

In this paper, the problem of global asymptotic stability of two-dimensional fixed-point state-space digital filters described by the Fornasini-Marchesini second local state-space model with saturation non-linearities has been investigated. By making use of a precise upper bound of the system state vector and a novel passivity property associated with the saturation nonlinearities, a new sufficient global asymptotic stability criterion has been proposed. Presented criterion has been compared with several existing criteria. An illustrative example is given to demonstrate the efficacy of the proposed method.