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

Advances in Difference Equations

Young Sam Lee¹  Choon Ki Ahn⁴ 

[1] Automotive Engineering, Seoul National University of Science &Technology, Nowon-gu, Korea;Department of Electrical Engineering, Inha University, Nam-gu, Incheon, Korea;Department of Mechanical &

关键词: Stability Criterion;    Exponential Stability;    Digital Filter;    External Interference;    Saturation Nonlinearity;   

DOI  :  10.1186/1687-1847-2012-51

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY