Asymptotic Stability of Fixed-Point State-Space Digital Filters with Saturation Arithmetic and External Disturbance: An IOSS Approach

A criterion for the input/output-to-state stability of interfered state-space digital filters with saturation arithmetic and external interference is presented. The proposed linear matrix inequality-based criterion ensures the reduction in the effect of external interference as well as confirms the asymptotic stability in the absence of external interference. The criterion turns out to be an improvement over a previously reported criterion. A numerical example is given to illustrate the applicability of the proposed criterion.