This paper presents a new frequency-selective filter based frequency separated feedback control strategy for disturbance attenuation over multiple frequency ranges. The measured output/state of the plant is firstly separted/divided into auxiliary frequency-limited outputs/state by introducing a group of pre-specified frequency-selective filters. Furthermore, a group of frequency-selective controllers is designed to render the frequency-selective component of the closed-loop system. With the aid of generalized KYP lemma, the design of control gains can be recasted into solutions to a set of linear matrix inequalities (LMIs). Finally,the effectiveness of the proposed method is illustrated via numerical examples.