This paper presents new spectra of responses and control force for an active base-isolated building that uses the equivalent-input-disturbance (EID) approach for active structural control. The EID approach estimates the effect of disturbances and uses it to suppress building vibrations. This system plugs an EID estimator into a conventional state-feedback control system. Note that these kinds of disturbance-rejection systems contain both feedforward and feedback terms from disturbances to a control output. This paper describes spectra that can handle systems with such structure. The spectra can be used to simplify the design of an active structural control system. This paper illustrates the use of the spectra for control-system design and presents a design algorithm for the EID-based control system. A shear building model and 44 kinds of earthquake waves are used to demonstrate the availability of the spectra.
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