Induced l ∞ stability of fixed-point digital filters without overflow oscillations and instability due to finite word length effects

摘要

This article studies a new criterion for the induced l∞ stability of fixed-point state-space digital filters without overflow oscillations and instability due to finite word length effects. The criterion not only guarantees exponential stability but also reduces the effect of external interference to an induced l∞ norm constraint. We present a numerical example, which demonstrates the effectiveness of the proposed criterion.