The combination of a passive base-isolated (PBI) structure and active structural control (ASC) has been employed in many buildings globally to improve control performance. Conventional approaches have utilized numerical simulations to calculate the maximum response and maximum control force, thereby complicating the design of control systems that satisfy design limitations. To solve this problem, this study extends the gust factor approach to buildings employing a combination of PBI structures and ASC. First, a method to theoretically estimate the mean control force and mean displacement response under along-wind force using only the static equilibrium, without requiring numerical simulations, is presented. Second, estimation methods of the gust factors for the displacement and control force are devised, and numerical very cations are used to validate the estimation methods. Using the estimation method for the mean control force, mean displacement response, and gust factors, the maximum control force and maximum displacement are estimated without using numerical simulations. Finally, a design method for determining the isolated period, isolated damping ratio, and feedback gain that satises the restrictions on the maximum control force and maximum displacement response is developed. Subsequently, the design method is validated using a numerical design example.
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