Insensitive H∞ filtering for fast-sampled linear systems with respect to sampling time jitter

This paper is concerned with the problem of designing insensitive H_∞ filters for fast-sampled linear systems with insensitivity to sampling time jitter. Delta-domain model is used to avoid the inherent numerical ill-condition resulting from the use of the standard shift-domain model at high sampling rates. A sensitivity approach is proposed to mitigate the effects of sampling time jitter on system performance. Projection Lemma and linear matrix inequality (LMI) technique are combined to design insensitive H_∞ filters that yield an optimal trade-off between the standard H_∞ criterion and the sensitivity of the transfer function with respect to sampling time jitter. Finally, the effectiveness of the proposed method is shown by a numerical example.