Abstract

This paper proposes a new criterion for passivity of fixed-point state-space digital filters with saturation arithmetic and external interference. The criterion guarantees not only exponentially stability, but also passivity from the external interference to the output vector. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

Key words: Passivity approach, exponential stability, digital filters, finite wordlength effects, linear matrix inequality (LMI).