Nonfragile Finite-Frequency Filtering for Discrete-time Linear Systems

The paper investigates the problem of nonfragile filter design for discrete-time linear systems subject to noises with known frequency ranges. Additive interval uncertainty reflecting imprecision in filter implementation is also considered. By the aid of generalized KYP lemma, both deterministic and randomized filtering algorithms are proposed to deal with noises in low-, middle-, and high-frequency domain, respectively. The proposed nonfragile finite-frequency filters can get a better noise attenuation performance when frequency ranges of noises are known beforehand. An example is given to illustrate the effectiveness of the proposed method.