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A novel right-handed metamaterial similar to an “autonomous control system of a living cell” and capable of responding to electromagnetic waves is proposed with its fundamental configurations. Using microwave absorbers as an example, the possibility of equivalently controlling their material constants are investigated both theoretically and empirically. These absorbers are composed of unit cells based on the concept of an autonomous controllable metamaterial (ACMM). The theoretical approaches used to obtain ACMM-based absorber design data are revealed. In order to improve the absorber matching characteristics, the principle of obtaining the broadband matching characteristics with an absorption band of 1.3 GHz at 4.25 GHz is clarified. In addition, the methods for improving the matching degradation of the oblique incidence of a TM wave are investigated. For the TM wave oblique incidence, a new ACMM-based absorber configuration comprising unit cells with inductive fins is proposed. At an incident angle of 45°, a matching characteristic of -30 dB is achieved in the case of the TM wave. These ACMMs are controlled by using only two bias feeder wirings for PIN diodes.